{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Phase 3 Weighted Bagging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from os import listdir\n",
    "from os.path import isfile, join\n",
    "\n",
    "import os\n",
    "import re\n",
    "import csv\n",
    "import codecs\n",
    "import gensim\n",
    "import itertools\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import operator\n",
    "import sys\n",
    "\n",
    "from nltk import ngrams\n",
    "from collections import Counter\n",
    "from string import punctuation\n",
    "from keras.preprocessing.text import Tokenizer\n",
    "from keras.preprocessing.sequence import pad_sequences\n",
    "\n",
    "from iwillwin.trainer.supervised_trainer import KerasModelTrainer\n",
    "from iwillwin.data_utils.data_helpers import DataTransformer, DataLoader\n",
    "from iwillwin.config import dataset_config\n",
    "from iwillwin.data_utils.feature_engineering import FeatureCreator\n",
    "\n",
    "from fuzzywuzzy import fuzz\n",
    "from nltk.corpus import stopwords\n",
    "from tqdm import tqdm\n",
    "from scipy.stats import skew, kurtosis\n",
    "from scipy.spatial.distance import cosine, cityblock, jaccard, canberra, euclidean, minkowski, braycurtis\n",
    "from nltk import word_tokenize\n",
    "\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "\n",
    "import lightgbm as lgb\n",
    "from sklearn.model_selection import train_test_split\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.model_selection import KFold\n",
    "\n",
    "import os\n",
    "import re\n",
    "import csv\n",
    "import codecs\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import operator\n",
    "from os import listdir\n",
    "from os.path import isfile, join\n",
    "\n",
    "########################################\n",
    "## import packages\n",
    "########################################\n",
    "import os\n",
    "import re\n",
    "import csv\n",
    "import codecs\n",
    "import numpy as np\n",
    "np.random.seed(1337)\n",
    "\n",
    "import pandas as pd\n",
    "import operator\n",
    "import sys\n",
    "\n",
    "from string import punctuation\n",
    "from keras.preprocessing.text import Tokenizer\n",
    "from keras.preprocessing.sequence import pad_sequences\n",
    "\n",
    "from iwillwin.trainer.supervised_trainer import KerasModelTrainer\n",
    "from iwillwin.data_utils.data_helpers import DataTransformer, DataLoader\n",
    "from iwillwin.config import dataset_config\n",
    "from keras.utils import to_categorical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "NB_WORDS, MAX_SEQUENCE_LENGTH = 50000, 50\n",
    "data_transformer = DataTransformer(max_num_words=NB_WORDS, max_sequence_length=MAX_SEQUENCE_LENGTH, char_level=False,\n",
    "                                   normalization=True, features_processed=True)\n",
    "trains_nns, tests_nns, labels = data_transformer.prepare_data(dual=False)\n",
    "print(\"Number of unique words\", len(data_transformer.tokenizer.index_docs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "trains_meta = trains_nns[2]\n",
    "tests_meta = tests_nns[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_df = pd.read_csv('../data/dataset/train.csv')\n",
    "test_df = pd.read_csv('../data/dataset/test.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "rumor_words = ['辟谣', '谣言', '勿传', '假的']\n",
    "\n",
    "def is_rumor(text):\n",
    "    if type(text) != str:\n",
    "        print(text, type(text))\n",
    "        return 0\n",
    "    for rumor_word in rumor_words:\n",
    "        if rumor_word in text:\n",
    "            return 1\n",
    "    return 0\n",
    "\n",
    "def has_split_symbol(text):\n",
    "    if type(text) != str:\n",
    "        return 0\n",
    "    if '|' in text:\n",
    "        return 1\n",
    "    return 0\n",
    "\n",
    "for df in [train_df, test_df]:\n",
    "    df['has_|'] = df['title2_zh'].apply(has_split_symbol)\n",
    "    df['has_rumor_words'] = df['title2_zh'].apply(is_rumor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train_has_rumor = train_df.has_rumor_words.values\n",
    "test_has_rumor = test_df.has_rumor_words.values\n",
    "\n",
    "trick_trains_features = np.concatenate((trains_nns[2], train_has_rumor.reshape((-1, 1))), axis=1)\n",
    "trick_tests_features = np.concatenate((tests_nns[2], test_has_rumor.reshape((-1, 1))), axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "oof_file_names = sorted([f for f in listdir('../data/pseudo/oofs/') if isfile(join('../data/pseudo/oofs/', f)) and f != '.gitkeep'])\n",
    "preds_file_names = [name.replace('-Train', '') for name in oof_file_names]\n",
    "\n",
    "oofs = []\n",
    "preds = []\n",
    "for name in oof_file_names:\n",
    "    oofs.append(pd.read_csv('../data/pseudo/oofs/' + name))\n",
    "for name in preds_file_names:\n",
    "    preds.append(pd.read_csv('../data/pseudo/output/' + name))    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "for i, name in enumerate(oof_file_names):\n",
    "    print(i, name)\n",
    "    \n",
    "trains = pd.DataFrame()\n",
    "tests = pd.DataFrame()\n",
    "\n",
    "for i in range(len(oof_file_names)):\n",
    "    for label_type in ['agreed', 'disagreed', 'unrelated']:\n",
    "        trains['oofs_{}_{}'.format(i, label_type)] = oofs[i][label_type].values\n",
    "        tests['oofs_pred{}_{}'.format(i, label_type)] = preds[i][label_type].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "oof_file_names"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "unrelated = pd.DataFrame()\n",
    "agreeds = pd.DataFrame()\n",
    "disagreeds = pd.DataFrame()\n",
    "\n",
    "#check_oofs = True\n",
    "check_oofs = False\n",
    "\n",
    "\n",
    "if check_oofs:\n",
    "    for i, oof in enumerate(oofs):\n",
    "        agreeds['oofs_agreed_{}'.format(i)] = oofs[i]['agreed'].values\n",
    "        unrelated['oofs_unrelated_{}'.format(i)] = oofs[i]['unrelated'].values\n",
    "        disagreeds['oofs_disagreeds_{}'.format(i)] = oofs[i]['disagreed'].values\n",
    "else:\n",
    "    for i, oof in enumerate(oofs):\n",
    "        agreeds['oofs_agreed_{}'.format(i)] = preds[i]['agreed'].values\n",
    "        unrelated['oofs_unrelated_{}'.format(i)] = preds[i]['unrelated'].values\n",
    "        disagreeds['oofs_disagreeds_{}'.format(i)] = preds[i]['disagreed'].values  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "agreeds.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "disagreeds.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "unrelated.corr()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Prepare Different Inputs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Only use oofs\n",
    "ensemble_trains = trains.values\n",
    "ensemble_tests = tests.values"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# LGBM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn import metrics"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def fit_every_feature_model(feature_data, label, feature_test_data, fold_count=3, predict=True):\n",
    "    predictions = np.zeros(shape=[len(feature_test_data), 3])\n",
    "    fold_size = len(feature_data) // fold_count\n",
    "    oofs = []\n",
    "    \n",
    "    log_loss = 0\n",
    "    for fold_id in range(fold_count):\n",
    "        print(\"Fold : \", fold_id)\n",
    "        fold_start = fold_size * fold_id\n",
    "        fold_end = fold_start + fold_size\n",
    "        if fold_id == fold_count - 1:\n",
    "            fold_end = len(feature_data)\n",
    "                \n",
    "        train_x = np.concatenate([feature_data[:fold_start], feature_data[fold_end:]])\n",
    "        train_y = np.concatenate([label[:fold_start], label[fold_end:]])\n",
    "\n",
    "        val_x = feature_data[fold_start:fold_end]\n",
    "        val_y = label[fold_start:fold_end]\n",
    "        \n",
    "        lgb_train = lgb.Dataset(train_x, train_y)\n",
    "        lgb_val = lgb.Dataset(val_x, val_y)\n",
    "        \n",
    "        lgb_params = {\n",
    "            'boosting_type' : 'gbdt',\n",
    "            'objective' : 'multiclass',\n",
    "            'num_class':3,\n",
    "            'metric' : {'multi_logloss',},\n",
    "            'learning_rate' : 0.01,\n",
    "            'feature_fraction' : 0.8,\n",
    "            'bagging_fraction': 0.9,\n",
    "            'bagging_freq': 1,\n",
    "            'num_leaves' : 16,\n",
    "            'max_depth': 12,\n",
    "            'random_state': 42,\n",
    "            'nthread': 8,\n",
    "        }\n",
    "        \n",
    "        lgbm_model = lgb.train(lgb_params, lgb_train, num_boost_round=100000, valid_sets=[lgb_train, lgb_val],\n",
    "                        early_stopping_rounds=1000, verbose_eval=100)\n",
    "        \n",
    "        lgb.plot_importance(lgbm_model)\n",
    "        plt.show()\n",
    "        if predict:\n",
    "            prediction = lgbm_model.predict(feature_test_data, num_iteration=lgbm_model.best_iteration)\n",
    "            oof_prediction = lgbm_model.predict(val_x, num_iteration=lgbm_model.best_iteration)\n",
    "            score = metrics.log_loss(val_y, oof_prediction)\n",
    "            print(\"Fold\", fold_id, \"log loss\", score, \"in\", lgbm_model.best_iteration)\n",
    "            log_loss += score\n",
    "            oofs.append(oof_prediction)\n",
    "            predictions += prediction\n",
    "            del lgbm_model\n",
    "    predictions /= fold_count   \n",
    "    print(\"Training  Finish\")\n",
    "\n",
    "    return predictions, log_loss / fold_count, oofs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold :  0\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.512086\tvalid_1's multi_logloss: 0.511921\n",
      "[200]\ttraining's multi_logloss: 0.343642\tvalid_1's multi_logloss: 0.344914\n",
      "[300]\ttraining's multi_logloss: 0.285447\tvalid_1's multi_logloss: 0.288135\n",
      "[400]\ttraining's multi_logloss: 0.262866\tvalid_1's multi_logloss: 0.266739\n",
      "[500]\ttraining's multi_logloss: 0.252742\tvalid_1's multi_logloss: 0.257765\n",
      "[600]\ttraining's multi_logloss: 0.247349\tvalid_1's multi_logloss: 0.253535\n",
      "[700]\ttraining's multi_logloss: 0.243936\tvalid_1's multi_logloss: 0.251335\n",
      "[800]\ttraining's multi_logloss: 0.241614\tvalid_1's multi_logloss: 0.250113\n",
      "[900]\ttraining's multi_logloss: 0.239863\tvalid_1's multi_logloss: 0.249397\n",
      "[1000]\ttraining's multi_logloss: 0.238458\tvalid_1's multi_logloss: 0.248997\n",
      "[1100]\ttraining's multi_logloss: 0.237279\tvalid_1's multi_logloss: 0.248746\n",
      "[1200]\ttraining's multi_logloss: 0.236236\tvalid_1's multi_logloss: 0.248587\n",
      "[1300]\ttraining's multi_logloss: 0.235291\tvalid_1's multi_logloss: 0.24852\n",
      "[1400]\ttraining's multi_logloss: 0.234399\tvalid_1's multi_logloss: 0.24846\n",
      "[1500]\ttraining's multi_logloss: 0.233554\tvalid_1's multi_logloss: 0.248453\n",
      "[1600]\ttraining's multi_logloss: 0.232735\tvalid_1's multi_logloss: 0.248449\n",
      "[1700]\ttraining's multi_logloss: 0.231919\tvalid_1's multi_logloss: 0.248456\n",
      "[1800]\ttraining's multi_logloss: 0.231123\tvalid_1's multi_logloss: 0.24845\n",
      "[1900]\ttraining's multi_logloss: 0.230331\tvalid_1's multi_logloss: 0.24847\n",
      "[2000]\ttraining's multi_logloss: 0.229544\tvalid_1's multi_logloss: 0.248498\n",
      "[2100]\ttraining's multi_logloss: 0.228771\tvalid_1's multi_logloss: 0.248504\n",
      "[2200]\ttraining's multi_logloss: 0.228009\tvalid_1's multi_logloss: 0.248546\n",
      "[2300]\ttraining's multi_logloss: 0.227255\tvalid_1's multi_logloss: 0.248572\n",
      "[2400]\ttraining's multi_logloss: 0.226521\tvalid_1's multi_logloss: 0.248582\n",
      "Early stopping, best iteration is:\n",
      "[1484]\ttraining's multi_logloss: 0.233687\tvalid_1's multi_logloss: 0.24844\n"
     ]
    },
    {
     "data": {
      "image/png": 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21caNG+vPP/+sjRs31tTUVH3ttdc0Ojpat2zZoqqqJ0+e1PDwcM3KyvKO62kx\n8ncoDc+VUlLG6SSntiYBk50Xp6pNVPU951hr4LCqZqnqXky34EeBQUCiZmf+veIz/hZMogaYWFe4\n834xMF2zyzupz/3LNbu800YgRlWHqmo0pijvYVUd6Vx7MxALxGDiWgf+8pOwWCz/ePJrZf/QQw/x\n7LPPetuBePC0qH/nnXeoVasWcXFx/Prrr7Rt25bw8HACAwOpUaMG8+bNA0BEuPrqq72rouXLl9Oo\nUSN3J1XKcM09KOa/zjzgdc3ZmqQjJmPvlFsKMaxrLUtE5HqcPV+5+AP4WlUfKIQ+W8bJJaxW9/An\nvSWlNa82Ih6Sv/mQw/Ez2b9/P5UqVWLr1q0kJCTQpUsXxo4dS/369alZsyYjRozgjz/+ACAkJISA\ngADi4uI4duwYmzdv5rLLLmPmzJkcPnyYxx9/nNq1a5OSkkJycjIbNmzgqquuolGjRowfP57bb7+d\nwYMHU7ly5Rwdif8NuL1Pa6Sqts91XDCGQDHllZ7GuOx6YUopRQH3AWOA+hjD9BOmakYmpgrGROAK\njPtuIKYmYHugu6ouEJH5mP1Zfzh/xqhqiBPTKuscB5NcMRiThfgJJi41V1XjHK0rHT3NtYCMQVvG\nyX2sVvfwJ70lpTV3+SUP+/btY8KECezYsYPp06dTrlw5Nm/ezKhRo2jXrh1ly5Zl9erVTJgwgcjI\nSG655RamT59OZGQkN910Ey+99BIbN27ks88+Y+zYsd5xFy9ezEcffURYWBgxMTGUKVOG+++/37X5\nlYbfQGnZpzUdeBcT09oILMEYmZUYQ5GEcet9hjE8mZhY1w7gE2ecWOAIZoUmGGO3DeMW3I/ZYxWM\n2Yu13rlnPib5whO7OomJXfUBpvpoXOSM+w3G9ZcK/OKc85R3ynTuz6QQPlcb03IHq9U9/ElvSWrN\n3eJDVfWGG27Q9evXa0xMjO7fvz/Hdb1799aHH35YK1eurDExMRoTE6OBgYFaq1Ytfeedd/TCCy9U\nVdXu3bvrW2+9le/3Dh8+XF988UX3Jqal4zdQmL9ftRj2aV2NaUPi6x4cDszWnGWc3sesujJVNc7J\nEmwFoKpJzooHVVURSQdinfejyd6nFUl2V+H5wH7N3qf1KWa1NRuY7RGnqlc5mtIxmYG/+5zzlHea\nhmmxMgSzMrNYLBYWLFhAzZo1adasWb7XVK9enX379nk/x8bGsm7dOoYOHUrPnj1JTk5mxYoVvPnm\nmznu27dvH1WqVGH79u18+OGHrFmzxrV5+Bu2NYn5rnMwPbvCgPoiEq+qHYHrgRdV9U8ReRWzMisQ\nG9NyB6vVPfxJb3Fr9bSs79dk4thDAAAgAElEQVSvHx999BGpqaa8aVpaGmPGjGHp0qVMnDiRbdu2\ncfDgQQYNGsRnn33GwYMH2bBhA02aNOGRRx7xjnfy5El69+7Np59+yqpVq9izZw9dunQhIiJnh+Mb\nbriBgwcP/mvqCZ4J/6rWJKr6fj5av8EYvCaYVddmTMuSZzHZhxc5OpIcY5b7fhvTchmr1T38SW9J\nxrRSU1MZOXIkS5cuJSEhgSFDhhAcHExycjLp6elUqlSJ6dOnIyLs3buXKVOmULZsWcaNG+cdZ9y4\ncYSHh7Nz507Gjh3LiRMnSsWzLw2/gdIS0yr1rUmc8/HO92UBx4AqzvGdmFjZcUxmYRoQVdC8bUzL\nHaxW9/AnvSWpddWqVVqmTJkcxzwxrcDAQN20aVOOc82aNdNu3bp5PycnJ2tsbKz26NFDZ86cWSya\nC0tp+A1QCvZpbQCuBcaqarCqhgJdHMPwvjr7tDBJFZB3a5LGqtoD+IH8W5MsB28ZJ9/WJF/4aMm3\nNYkPt2I2J4epqscJvQqT7FFdVSMxm6LrFfoJWCyWfwQ9e/bk+uuv58SJE0RHRzNjxox8Y1p79uwh\nOjqajRs3snz5cqKjozly5AgJCQlUqFCB+fPnM2nSJO68806vu9FSeP71rUkcXfGYrsbxjnHyHH8f\nqKmqF4pIJYzxbK6qB3Pdb1uTuIzV6h7+pLe4tL71yhQ2rF9HpQrlvSnukydPZtGiRdSuXZuyZcty\n9OhRJk2ahKpy0003Ua1aNcLCwhg6dChnn302EydO9JZ0Ati5cyfp6elMnTqVRo0aMWXKFCIiIujX\nr5/7EzoN1j2Y7R70h9YkTch2Yapz30jNTp1f69yfBow73byte9AdrFb38Ce9xaXVtxyTh59++sn7\n+bHHHtPQ0FCNiYnRsmXLqohorVq1dOXKlXrppZeqqmrv3r29bUcyMzO1UqVKWrNmTe94K1eu1Cuv\nvLJY5nM6SsNvgFLgHvQYmNxlnM7DpMHHqWpDTHyrdR73LtNs9+Aa8m9NMkezyzX5tiaZq9nlmryt\nSVS1ea7Xz5jYVYIzhpBdFDfIOdcXk1nYT0Si/u5DsVgspZu8yjGdddZZ3vflypWjT58+JCUl0a5d\nO6pWrcr333/PxRdfTFJSEnv37s1x7/Lly6lfvz5nn302mzdv9h77t5VgKgrcTHnfgKl2MVRz7tMa\nUYh7XSvXlA/pwK2qus53jxjGYK0H7ses0gIwMa21hZiDxWL5h9CzZ0/i4+PZt28fQUFBVK1alfXr\nzb+jmzVrxpdffgnAt99+S1JSEk2bNiUlJYX58+fz/PPP07FjR3r27Em7du249dZbSU9Pp06dOv+6\nEkxFwb8qpgWMJ3svl4c+wIvAg8CPwDuOjpdF5HLgOWAoJn3/HKCxFhDTsinv7mC1uoc/6XVDq287\nEY8RmTlzJvHx8ezZs4dmzZrx2GOPUamSaaW3fv16nnrqKbKysoiJiWHs2LFMnTqVzZs3k5qayqFD\nh6hYsSJDhgyhVatWZGRkcOONNzJr1qw8i+mWBkrDb8DGtPKIaeWjMwLjVjzmvNYAgc65FhjDtxGT\n8j7idPO2MS13sFrdw5/0uqE1r/hVcnKytxzTCy+8oAMGDFBV1UOHDmnDhg119erV2rhxY927d6/3\nnjvuuENfeeUVb0mnhQsXqqrq/Pnz9bLLLity3UVJafgNYGNap8a08hSomgrMxBjPLGeMW50GlM8D\nmzBVOE5y+rR5i8XiZ+QVvypbtqz3fWpqKiLCb7/9xttvv83111/Pd999R4MGDahSpQqHDx/mwIED\nrFy5ElWlffv2VKpUybtyeeedd+jZs2exzumfjI1pGd4BnsGsqt4Gzgc+whhYxaz0QoG5InKxqq7L\nbyBbxskdrFb38Ce9Ra016Zlup5RoAmjcuDGbNm3i5MmTPP744zz55JMMGzaMFStWkJGRQWpqKkFB\nQTRo0IBZs2bRo0cPduzYwcCBAwkICGDJkiW88cYbpKWlsWzZMqZPn15kmv/t2JiW0bJTVQ+ISApm\nFeeJaX2KSX9fIyIrnO8pr7kemo1puY/V6h7+pNcNrblLNIFZXXnqAQ4fPpw///yT6dOnM3HiRJYt\nW8Yrr7xCVFQU9957L+PHjyctLY177rmHZ599ltatWzNlyhSCg4O55557ilSrW5SG30BpiWnlVcZp\nFHnHtM6kjFNRx7R2Y9yOCrxAdkxrN6Y78k+Ywr67gUoFzdvGtNzBanUPf9Lrlta8SjR5ePTRR7V8\n+fKqqnrttdfqxRdf7D3Xr18/nTt3ru7evVsDAwO97UlWrlypbdq0cUWrG5SG3wClpDVJJ0z86mXI\n0ZpktOZsTdKanGWcwMS0BjrXLCL/mJanNUnumJZqdmuSAmNaInIdppzULlV90Of0cUxx3t9F5F5g\nAsawWSyWfzC//fYbs2fPZs6cOWRmZnLRRRcBJta1bt06OnTowJEjR9i/fz8PPfQQ1apVIygoiPbt\n2xMWFkaNGjWIjY0t2Un8Q7GtSYyurwFMU+UcbMG4L3/H7M0qQ3bPrjyxMS13sFrdw5/0FoXWA0ue\n59jWtTQ8O5pffvmFnj17smDBAk6cOEFISAj16tUjNjaWbdu2Ub58eTIyMjjrrLMIDAzksssuIyAg\ngL1797Jz507S0tIYOHAg8fHxLFiwgBEjRpCWlsbKlSsZNmxYEc3a4su/qjUJpr5g7pjW7WqqYiAi\nqqpeyyUi9wNNVPUeJ75VQ02R39xztTEtl7Fa3cOf9BaF1h9//JGwsDDGjRvn3ZeVkJDAU089xaxZ\ns/jf//7Htm3bePjhhwHYtWsX/fv3p1mzZkRGRhIdHU2fPn347rvveOeddzhy5AivvPJKju+YPXs2\nAQEB3HHHHX9La3FRGn4DpTmmVRpbkzyLqX6hjtaRzvH3gcPOsZPAr6ebt41puYPV6h7+pLeotHr2\nYOX1eezYsXrLLbd4z1133XXavHlz7d27t06aNEkvvfRSzcjI0NTUVI2NjdX27dtrSkqKHjlyRFVV\nU1JS9IILLtDx48cXidbioDT8BigFMS3flHffmNYITGsS35gW5N2a5D7nms/IvzVJCnhT3n1bkxz3\n0VJgaxJVHSoiX2MM5GZVHekcv8lxQ05xvmvPmT4Ei8VSusmrRFOLFi2Ii4sjKyuLffv28cMPP/DE\nE08QHR3N5ZdfTtOmTQkICKBbt27eWoPXXXcdAJmZmfTq1Yvzzz+/hGf2z+RflfKu+bcmicQkd7QA\nElU1zjneAvgAuBz4HLhUVX/L437bmsRlrFb38Ce9p9PqaSlyVtlyDH9mMgDz357NLz+sJTKsDDVq\n1OCxxx4jJSWFYcOG0bBhQzZv3oyIMGjQIJo3b85bb73FN998w549ezh48CBTpkyhUaNGPPPMM1xw\nwQV06NDB+33r16/nvffey9Gd2ENpcLkVltKgtbS4B0tVGSfyb02y1tFxkpzuwc+AvRjjlwYsON28\nrXvQHaxW9/AnvafTmldJpk8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Vez+VZ2+W58/Fixfrrbfe6tWau62Iqmp6erq2b99eq1Wr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      "text/plain": [
       "<matplotlib.figure.Figure at 0x258f652cdd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 0 log loss 0.24844021676400113 in 1484\n",
      "Fold :  1\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.51385\tvalid_1's multi_logloss: 0.496529\n",
      "[200]\ttraining's multi_logloss: 0.345911\tvalid_1's multi_logloss: 0.324752\n",
      "[300]\ttraining's multi_logloss: 0.287884\tvalid_1's multi_logloss: 0.266298\n",
      "[400]\ttraining's multi_logloss: 0.26534\tvalid_1's multi_logloss: 0.244532\n",
      "[500]\ttraining's multi_logloss: 0.255199\tvalid_1's multi_logloss: 0.235514\n",
      "[600]\ttraining's multi_logloss: 0.249766\tvalid_1's multi_logloss: 0.231331\n",
      "[700]\ttraining's multi_logloss: 0.246365\tvalid_1's multi_logloss: 0.229177\n",
      "[800]\ttraining's multi_logloss: 0.244046\tvalid_1's multi_logloss: 0.228021\n",
      "[900]\ttraining's multi_logloss: 0.242288\tvalid_1's multi_logloss: 0.227324\n",
      "[1000]\ttraining's multi_logloss: 0.240886\tvalid_1's multi_logloss: 0.226907\n",
      "[1100]\ttraining's multi_logloss: 0.239698\tvalid_1's multi_logloss: 0.226685\n",
      "[1200]\ttraining's multi_logloss: 0.238645\tvalid_1's multi_logloss: 0.226574\n",
      "[1300]\ttraining's multi_logloss: 0.237673\tvalid_1's multi_logloss: 0.226521\n",
      "[1400]\ttraining's multi_logloss: 0.236789\tvalid_1's multi_logloss: 0.226466\n",
      "[1500]\ttraining's multi_logloss: 0.235932\tvalid_1's multi_logloss: 0.226457\n",
      "[1600]\ttraining's multi_logloss: 0.235109\tvalid_1's multi_logloss: 0.226451\n",
      "[1700]\ttraining's multi_logloss: 0.234293\tvalid_1's multi_logloss: 0.22649\n",
      "[1800]\ttraining's multi_logloss: 0.233487\tvalid_1's multi_logloss: 0.226495\n",
      "[1900]\ttraining's multi_logloss: 0.232693\tvalid_1's multi_logloss: 0.226494\n",
      "[2000]\ttraining's multi_logloss: 0.231925\tvalid_1's multi_logloss: 0.226517\n",
      "[2100]\ttraining's multi_logloss: 0.231168\tvalid_1's multi_logloss: 0.226501\n",
      "[2200]\ttraining's multi_logloss: 0.230406\tvalid_1's multi_logloss: 0.226492\n",
      "[2300]\ttraining's multi_logloss: 0.229665\tvalid_1's multi_logloss: 0.226495\n",
      "[2400]\ttraining's multi_logloss: 0.228919\tvalid_1's multi_logloss: 0.226512\n",
      "[2500]\ttraining's multi_logloss: 0.228203\tvalid_1's multi_logloss: 0.22652\n",
      "Early stopping, best iteration is:\n",
      "[1562]\ttraining's multi_logloss: 0.235404\tvalid_1's multi_logloss: 0.226445\n"
     ]
    },
    {
     "data": {
      "image/png": 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WafPmzSQlJfH888+TmprKjh07SE9PB66tVvd2wLQm0cSiyzQdynX8JNrXao6e\nEI9iWpOUGHbWBkZfUbCzNshbX+I43Za+T58+LFy4EIfDQc+ePYmLiyMpKYkhQ4bw0ksv4eHhQeXK\nlQkKCiIoKIj9+/fj5+dHWloaFStWpGnTpqSlpaGUombNmly4cAFPT0/uuOMOfH19r6lW93bAeFqX\n97R+ALxFpI1SqgfwoIh0y2OsxtMqBuysDYy+omBnbXB5fZs3b8bhcDBq1CiWLVsGwEcffURQUBDd\nu3fns88+48SJEwwbNowLFy7g7e2Np6cnmzdv5oUXXiA2NpZ9+/bRr18/xo8fz2233cYHH3xAQEAA\nffr0KZI2O/B38bT2oz0n5/6nFUAP8va0Yq1zrqqnBZRBV+lIRa/o0oDe+Y3beFqFx87aRIy+omBn\nbSL561u1apX4+vq6PrvvzcpdusnJnj17xNvbW3777Tc5fPiweHp6yvHjx0VE5Oeff5ZOnToVi7bS\n5nrztBwi0tf9gFLqHWsiGCYiUyxP63d0CO8vt1N/EJEBSqlIdFHdEvO0RGQoMFQplSyWp6WUKgMk\noNuiPIKuMD9BKfWtiJy+4idhMBiuG86dO8f06dOZMWMG/v7+1K5dG4CEhAQOHTpE3759SUhIIDAw\nkJo1axIcHIyXlxetWrXC39+fsLAw6tevX8qjuDYpaU/r4TyOV0WviKa4HUtAT0yVlVJ/oldI292+\n9wBQSvVGhzSdMc0eWLUHgbOAj1JqA3p1tdWtZckJwMu6vgt6FVUDWGBNWBchIueVUpuBNdb739CJ\nGLXQGYV5YjytwmNnbWD0FQU7acurtYhT35m18zkd9xnhz37F/vd7AdCuXTtWrlxJZmYmvr6+TJ48\nmX379nHo0CGOHDmCiLBrl24GsXr1asaNG4e3tzeRkZGkp6e7QmcxMTG8/PLLnD9/np9//pl+/fqV\nzgO4xilJT0sBa4BPJaen9Tq6jUgNoCJ6ldUM+AcwET1hdQK+QTdmjECvnNoBkcDHIuJj3W8nurDu\n05bXdUG0p7UB7ZXVsH7rZ3Tx3mnoqu7x6FBgPaCTiCy37pcsIq7grFLqXvQG6efQKz0foKGInMg1\nVuNpFQN21gZGX1Gwk7bNmzfj7++vW4tERwNa3/nz55kwYQL79+9n6tSplC9fnuTkZAYMGMALL7zA\npEmTmDRpkmsjcI8ePZg6dSopKSm89NJLrnu58/zzz9OvXz/q1KmT4/j06dPx9/ene/fu+eq107PL\ni+vG07Imw0Zc3Jrkv+iJytmapLt17hx0ZiDoxIk91rWx6KSNNmivK83t/juBj6z3qUCy9X4h8Jv1\n3sP6fef1n7hdvxS9P2wPOuzMHu5DAAAgAElEQVQoQDLwuvX9G8BxdOjyAvB0fmM2nlbhsbM2EaOv\nKNhNW24f6qeffpKHHnpINm3aJBERES7v6b///a+MGDHiovMPHTrkOm/SpEnSvXt3EdE+lnNfVmJi\nolSpUkWOHz8uycnJcvbsWRERSU5OlhYtWsjSpUsLpNVuzy43142nZa20pqBbk0yxjjW2Jo+GcvGM\n6sBqsigiopT6Be1ZbQEWiUicUupRdJKFk33oyQ70hOec7v+HnnycqfCp1vW9yTsVvrGInLU0f0N2\naHICOnsxGe23NSrs8zAYDPbll19+4cYbb6RRo5z/F9+5cyeLFy9mwoQJrhT2CRMmEBcXx6FDh6ha\ntSq+vr6MGDECyBke9PDwYPLkyQQHB7Nnz57rvqPw1aKkU95HiUirXMcVcBC9qjmJ3su1B+iFTksP\nAp4B3gJqo/2pLWgvKgPd+HEi0BEd+huA9rZaAf8QkRil1Lfo0OBB688IEfGxJq1bJeem5YlitSxR\nSnkD84EvRWSOUupNdAixKzAMqCYiT+cxVtOapBiwszYw+opCSWr76uMP2Lrpd8qWK89L494HYPHX\nX/HHxnUopQgsV55Hn3qO8hUqclN5T8aMGcOBAwc4cuQIzz//PG3btuW5554jKiqKjRs3cuDAATp0\n6MCLL77I+++/T3x8PP/5z39IS0ujf//+jB07lqpVq5KUlERwcDCnTp3ixRdfZODAgRdNesWBCQ/m\noiDLscK80Cnv7+Rx/CG0x/Q1upxTGrAcvQI7jg4b7ge+s86PRCdZtEGHDQXdOHKOdf56dMr7eWCT\ndc236OQLZ8p7FjoBZLd1jbMtyRngCeua74FTwEzAk+yOxkmWxhSstPvLvUx4sPDYWZuI0VcUSlJb\n7jJLIiJnzpxxvX/vvffkqaeeEhGRt956S4YOHSoJCQlSt25dqVChgmzYsEECAwPF19dXIiIixNPT\nU3x8fGTevHkyduxYGTlypOteffr0kblz516kIXd7kuLEzn+vItdX52KAMkqp2Uqp3UqpbUqpJcB9\nwHQR6Soikdbk8z56FVVWRBoAr2Klv4tIInqSwxpYGhApuqPxR8C3IpKObh8Saf3ut8B8ETkjIhfQ\nE1KE6GrzIaK7EzcWkfIiEm3duwPwC9AZuEt0R+O56H1b29Ce1vCSe1QGg6EwtGrViooVK+Y4Vq5c\nOdd7h8OBDvCAUopz584hImRlZVGxYkUaN27MuHHjiIqKYvv27dx4443Uq1ePevXq8cADD7Bq1Soy\nMjI4f/48a9eupV69ejgcDs6dO+e6/7Jly1zlmwwliynjZKGUehC9ojuHzjT8wZoYnd9/bB03GAzX\nACNGjGDGjBmUL1+en376CYABAwZQs2ZNpk6dSlZWFpUqVSI6OpqoqCjatm1LlSpVOHv2LA8++KCr\nHuC9997LzTffjIeHB08++SQNGjQwHlUp8rcq4ySWd5VLZyA6pb4melVVC70RuSM6hX6X5cOdBNaK\nyEX/yzQp78WDnbWB0VcUSkqbs21IQEAA3t7eREdH89lnn/HLL7+glKJChQrUrl0bLy8vunbtygsv\nvMCRI0cICgqiQ4cOxMbG8umnn/LNN98wa9YsKlasSI8ePfj+++/p27dviXhUV4qd/17h6ntaJbnS\nagDMBtorpYajw2uJ6DRzZ30/5fZyZxd61fMH2uM6m+v7OBEZppTaDtxr/VZ9YKPbOcFAE/SK6yR6\ncsyLAOAGtHflAZxGhx8zlFLzlFJ1AH9L47/yuoGIfIwuWUWdOnWkTZs2l/ip0icuLg676rOzNjD6\nikJJafPw8CAwMJAePXrg4+NDmzZtaNKkiSs8+P7777N27Vo2bNhAnTp1yMjIYNGiRdStW5c6derQ\nqFEjfHx8mDdvHoMHD2bIkCE0bdqU7t27k5qaaovnaee/V7j6+kra03KISDfLS4oSkc7olc+76MnI\nBz1xxqKTKXKXcYpCZ+15c+kyTjMsTyt3Gae5bp7W5co4VQHWW/7aPcBhEckAEJGHLI/NE0gRkYOX\nuIfBYCgFLuVnOStUOBwO9u7dS926dVFK4efnx/Lly0lOTqZcuXLs3LmTPXv2UKtWLdatW0fZsmVp\n164dsbGxpl2ITSmNMk4KnaY+UUR6uNUedG9jn9vTcn9f3J5WC6CpUirROidUKRUnIm0AlFIPA5XR\nGYv5Yso4FR47awOjrygUpzZnGaZ6N4Xz559/MnDgQHbv3k1WVhY+Pj7UqlWL1NRU9u7di6enJw0b\nNmT79u38+eefHDp0iHHjxvHGG28QEhKCh4cHI0aMICIigho1atCwYUNOnDhB3bp1uf/++4tFr6F4\nKY0yTv3Re65CyFnGyQ+dvn4UHY7LQO+RakbByjglo1duf1j32gqEkl17cAi6jFMl9CToiw4F3i3Z\nrUki0RuZG1ifA60xpAD+zuN5jNV4WsWAnbWB0VcUilNb7jJMR44cYdiwYXz++ecAzJs3j7179zJ4\n8GCio6NZuHAhU6dOZceOHfz+++8MHjyY/fv306dPH6ZMmcLatWv55ptveOedd4iMjGTGjBn4+fnR\nrdtFXYhKBTv/vcJ1tE9LrryM0wj0isgTvbJxoGsEFrSMk6BDeAAbrN91tiw543b9HrL3b+0Fqrrd\n7wes9ijW598s3YfRE1en/MZs9mkVHjtrEzH6ikJxa3Mvq5S7xNKYMWOkX79+IiIyevRoCQkJERGR\nTp06yc8//ywiIr/++qtUqFBB1q5dKzNnzpS6devKmDFjRESkb9++MnPmzGLVWxTs/Pcqch3t08pV\nxslbRPzQnlE6sEpEGohIQxFxlmGqjvaTMkXkKLoyxRDgWSBBsjP/Pnb7mZ1kl3FKQ1dvB923a6pk\ne13idv0Kyfa6tqEL8jpT3o9j+WpWen5F4BV0CHG3iCwphkdjMBhKgBEjRlC1alU+++wzRo8eDcCK\nFSsoW7Ysbdq0Yd26dUyaNAmArVu3kpqaSvXq1enQoQOHDx9m9+7dnDp1imXLltGhQ4fSHIrhMpSk\np9UW7T+5WpCIyCalVCwwXSnVHr06etOauNw7BvcGbkMnWgBUU0q1QYcMn1JKOdAp75FAXaXUKPSq\n6n4gBrgZqKGUuhOd+OGczCAPr8sKAw5Gh/icsb0WQBh6X9kgcnldl8J4WoXHztrA6CsKxaUtcVxn\n+vTpw8KFC3E4HPTs2ZO4uDiOHTtGfHw8N9xwA4cPH6ZevXqEhYVx7Ngxjh8/TpkyZahYsSKLFi2i\nTp06pKSkUKVKFVq3bo1SijJlyvD1118TFxfHa6+9dlFyh8E+lKSnNRC4SUSez3X8IeAz9CpqIdrH\n6gt0oGC1B1ehq1b8gQ71bQL+Dx0C3Ckija3ag3eiV2+p6BJPEehGjuXQNQlBtz4ZhJ7kfkYX2nX3\ntEahQ4op6LT46iJyKo+xGk+rGLCzNjD6ikJxe1oOh4NRo0axbNkyQGcJBgQEABAdHc2CBQuIiYlh\n4sSJbNq0iS+//BKA8ePHc/vtt+Pt7c3o0aOJiYnB19eX3r17ExERweuvv14sGosTO/+9wnXkaaFr\nD05F79XajQ7FLQGi0auaudbx0+iJqwd6Usqv9mAmOsliDnrf16fWecnAacmuPbjGTUsGugVJb+BD\nt+OL0BNlEto/24aeoEKt7yujPbZn0KvChfmN23hahcfO2kSMvqJQ3NpWrVolvr6+rs87d+50vb/v\nvvukevXqIiIyffp0qVSpkqSnp4vD4ZCoqCj5448/JDExUTw9PWXjxo3icDikTJkyMnXq1GLVWFzY\n+e9V5DpqTcLlyzidFpFu1rEv0GHAk0CGiDSwWpD8H+jag0qpddZ7UUqliN6/5VwJOVuQBFoZhKAn\nLfcZ+zvAS0SmA9OdB0XkPqXU0+iOxGnoFHpP9ITaRkSOKqXKoifUTUBU8T0eg8FQGHr27MmKFStI\nTU0lPDyc119/nSVLlvDzzz9z5swZfH19+eWXXwCIiIjg/PnzBAYG4u3tTf/+/V01Av/1r3/RtGlT\nlFJERkbSt2/f0hyWoYD87cs4WbrigBfRKy738GAV9Obm5egN0btFF9bNfb1pTVIM2FkbGH1FobDa\n3NuOzPxCp7R/9tlnxMXFceTIERo1asSwYcMIDg5m9erVREdHc/r0aQBGjRpF9erV8fDwYOTIkWzZ\nsgWlFEuXLuXcuXOMHDmS1157jcDAQF555RXatWtH+/bti3PYxYIJD+aiIMuxwrzQ4cGPyQ4DbkVn\n9Q1Ah/X+RDdbTEJXpbgDK90cPanFkx0GPIHVFgQdputovd9unedMbc+0jn+K9ricqe3nga6X0XoW\nHRa8gM5u3ISeSBdZ99li6eyQ37hNeLDw2FmbiNFXFAqr7VJtR5xp7u5tR86dOydZWVmSmJgoNWrU\nkDp16riuWb58ucTExIi/v78cP35c5s6dK3369HF9P3z4cHn66acLN7gSxs5/ryLXUcq7haBDbpBd\nY7ApMFp0yns9dC3C2/K49gfRpZ+6o/dLlVQZJ9AT6D50Cn0K8Al6wgxEhzO90Buen7/UDQwGQ/FT\n0LYju3btIjAwEKUUMTExVK1aFaUUR44cQURo164dBw4cQESoVKkS1apVY82aNZw/fx4RYePGjaZs\n0zWCaU2iSQMeEZHfnd2N0T7XzejU96Nor6uxUupWEfm9AGMwGAwlQM+ePYmNjcXhcPDaa68xYcIE\nhg8fTnx8PMnJySQlJeHl5cXSpUv55ptv+Oijj/Dy8iI9PZ1bbrkFpRTNmjXj4YcfpkmTJnh5eREW\nFmY8rWuEv5WnBbyNLt/kTm90lY7ngM3ALEvHFKXUeHQa/adO3yuvCcukvBcPdtYGRl9RKKg2Z6uR\noKAgoqOjAV2pfdGiRVSrVo0KFSq4PCwRYcCAAezbt4/Q0FCGDRtG7dq1OXLkCEOGDOHEiROEhoby\n4IMP0qVLFzZt2sScOXMYO3ZsofWVBnbWBsbTuuqeFro1yTl0WDAFHYr0lOzU+fHojsZngWfzG7fx\ntAqPnbWJGH1FoaDa8vKwtmzZ4vrs7mEtXrxYWrduLVFRUfLbb7/J7bffLiIiqampcuHCBYmMjJSE\nhASJiIiQgwcPyk8//SSdO3cukr7SwM7aRK4/T8v2rUlExAHUFRF/dIHdc8Aj1teVgKfQ+7XmA8OU\nUkGFfhoGg+Gy5OVhlS1b1vXe4XBw5swZABYuXEhkZCR169alefPmHDt2jEOHDuHj48PWrVtJS0sj\nMDCQrKwsDNcPpjWJvvag9ec5pdRM4HZgBlAHeB94Db0xOgnd2Xj9pe5lyjgVHjtrA6OvKOSnLWnJ\nu5Q5spnQ0FAWLVoEwJAhQ5g6dSopKSlkZGTg6enJDTfcQKNGjahQoQJnz57Fz8+P6dOnA+Dp6cnt\nt9/OiRMnyMrKws/Pj2rVqjFhwgS6d+/Ojh07SE5OJjw8nGnTppn6gtcoJTlp/QiMUUr9W3J6WkHo\nQrSfKKVCgFbokk5+QGWl1J9YrUmUUh7o0KG/dX1v9OrMSS9ghfVdMuCjlNpg3Wur5UM5W5OglNrN\nxa1JOgAHRCRJKeUN3Acst/ZopQLVRESUUguASWh/LQe5PC3m3htQxEdXciQnJzPdpvrsrA2MvqKQ\nn7bNVe7D378rY8eOZc2aNTgcDkJDQ1mwYAGenp5MnToVgMDAQLZs2ULz5s05deoUXbp0YcSIEVSq\nVIly5cqRmZnJxIkTqV+/PsOHD+fuu+/mww8/5K233rpoBRcXF5dDn/tnO2FnbVAK+goSQyzsi2uj\nNUlt63vnPq0t1nW3Akcszc79W+fzG7PxtAqPnbWJGH1FoSDanHuvcrcaERGZP3++9OrVSxITE6Vi\nxYryxRdfuFqI3HXXXbJ27VqpXr261KhRw3XNzJkzpW/fvtK7d2/5+uuvi6yvtLCzNpHryNO6hlqT\nhKJ7avmjV3S7gIfQYcw/RSTU0j4PPREaDIaryK5du/jss8/o2LEjMTExREZGsnDhQjp37szUqVP5\n/fffWbFiBX5+fkRGRnLgwAFSUlIIDw8nMTGRX375hTp16pT2MAzFhGlNomsSnrU+e6HDjwIcAMIt\nPQpoDyzLb9DG0yo8dtYGRl9RuJQ2Z6uRRYsWERQUxNGjR2nRogXHjh3D29ubypUrc/bsWUSEvXv3\nUrVqVSIjI/npp5+IiYkhICCA9PR0PvzwQzw9Pdm3bx+tW7cmMTGRChUqkJaWxsSJE2nYsGEpjNpQ\nEpjWJDqVPlop9T06AWMp8JiIZCql1qNXej7oMGVPyaMRpNmnVTzYWRsYfUXhcto2b96Mv78/o0eP\nxtvbm+joaNavX0+TJk344Ycf+PTTT2nbti39+/dn+fLl/Prrr7z22mtcuHCB3r17U65cOV5++WXK\nli3L888/T3R0NF27duWRRx4hMTGRF154oUj6Shs7a4Prb5/WtdCapA06hX6zpXEPVo1BdAZhqvWb\nJ4Cg/MZtPK3CY2dtIkZfUchPW0JCgtSqVSuHl7V06VKpV6+eREdHS69evURE+1QdO3aU06dPS1JS\nkoSFhUmLFi1c19x6663y7rvvSosWLeTee++VxYsXF4u+0sTO2kSuI0/Lmlh6AnGi92nVR5dwCrAm\nl24iUgO9gnkDHY7LEF1h/SVr8kBEEgFXaxJ0soWzJuF0YIf1XSDZ4c5v0ckeTlytSURkgPOgiNwn\n2uvqJiKN0K1HTqAnVYAv0SuzJPQk+VLxPBqDweDOwIEDSUhIID4+3pWSPmDAAM6dO8dzzz3H6tWr\n6devHw8//DCenp5UqlSJkJAQypUrx6xZs1z3+eijjxg1ahS7du2iRo0adOzYsRRHZSgJ/lZlnCSP\n1iRKqUCgrIgcVkr5oVd/34tIH+v7e9GT1bvAwyLySB73MK1JigE7awOjryhcSlvDG8vz9ttv88sv\nv3DhwgVXJ+IpU6bw66+/kpycjFKK6dOnU7ZsWTZt2sTbb7+Nn58f6enpJCcnM3nyZMLCwujRowf+\n/v7s27ePyMhIpk2bVmB9dg7B2VkbXH/hwWuhjFNldGgx07r3BXSosKH1/XSgH3pyfDS/cZvwYOGx\nszYRo68oXE7bypUrJTY2Nkcn4u+//16mTZsmzZs3l+eff16GDh0qIiJ33323NGvWTEREHA6HBAQE\nyAcffCAiIhERETJjxgxp3759seorbeysTeT6Cg86JxhbtyYRnV7/HnAIvfpbjC6M+4dSqp+ldyQ6\n2WNjIZ6BwWC4DK1atSIoKGd1tKysLCZOnEhMTAx33nknBw4cACA4OJiDBw+Snp5OUlIS6enpNGrU\nyHXd/Pnz6dmz51XVb7i6lJanlR+Fak1CzhT+K2lNEovOHASdMv+A9X4mMBG9MnwKXRHDYDAUIz17\n9uTBBx8kNTX1Ij+rffv29O7dmyNHjgAwefJkAPz9/YmMjOS+++7jzjvvBHTUKDY2lvfee4+PP/74\nkr9nuLYpyX1azokl0+2YN3oye1UpNZhsT2sI2tNyUg/4p1JqANrTao3O9IsDApRSb+PmabmVa/K0\nrr8DaKuU+o5sTwul1Foubk3SF9gr2tMC7bmtsr77P3TB3tbW7+VpAOYu42RKrhQOO2sDo68o5NaW\nuwXJAw88wFNPPYWHhwdjxowhLCyMYcOG8e2331K2bFl69uxJVFQUJ06cIDk5mZiYGFJTU+nZsydh\nYWGUKVMGpRRff623dr744oukpKTkWIVdiT47YWdtcB2VceLa8rTWo/eCZQIfoDMNQVedP4VetaUB\ns/Ibt/G0Co+dtYkYfUUht7bcLUicLUTS09NFRGTo0KHSqVMnad68uZw5c0YaNmwomzZtkmeeeUYm\nT54sGRkZIiJyww03yJgxYy76vZEjR8qECRMKrc9O2FmbiPG03LmantYy9KrNQ0SeFZEM6+s30aHK\n7WjPK+JKH4DBYLiYvFqQBAYG4uWlgz8+Pj6sXr2amJgYVq9ezc0330yjRo2oVq0a69atw8PDA4fD\nwdmzZ4mMjMThcHDunP6/v8PhYNmyZTRo0OCqj8tQ8pR0a5I3gaEi0gNAKdUY7WvlR6E8rcK2JkF7\nWh+iJ6bczBGRAVbF+VP5CTdlnAqPnbWB0VcU3LXddWyeq2yTj48PPXv2JDY2FofDgbe3Nw0aNCA+\nPh5/f3/at2/PoUOHOHfuHN9++y0ZGRnUrFmTBg0asHfvXtLT03niiSfw9/fH19eXypUrk5GRQa9e\nvbj33ntLedSGkuBvtU8LeJuLPa3HROQPS5+IiHsNxGHoYroDlFL3AyMlj30EpoxT8WBnbWD0FQV3\nbZcr2+Tp6cnAgQM5efIkX3zxBVlZWXTr1g2lFNOmTSM1NZVRo0bxr3/9i7p163L+/HmCg4MZMWIE\nR48epVu3boXqk3WtPDs7cr3t0/qCi1uTvE7entbDQJZcfU+rDNpzS7fufRYYZX0XT3aIMw1de9B4\nWiWEnbWJGH1FIbe2vMo2iYhMnz5dateuLd26dRMRkcWLF0vLli3l8ccfd50zevRoGT9+vOtzWlqa\n3HfffdKvXz/p379/seizE3bWJnL9eVrtuLg1SV3y9rSOWBODk6viaVk8KSLe6NXfZmCtdXwoUEFE\nPIBv0FUxDAZDCfDdd9/x9ttvExERwf333w/Azp07CQsLY/78+TRu3JixY8eycuVK6tevT0ZGBm3b\ntiU0NJSAgACOHTtmfKy/ASXpaXkDZeTi1iSHga5WyruQt0/UAp1u7qQZ0Bid8u4DjFNK5ZXy7gz9\n5ZXynudYReQ88JPboY1YLUlEZKHb8f8A3fIbtPG0Co+dtYHRVxSc2pytSL766ivS0tLw8vIiPDyc\nBg0a8OOPP5KZmcmuXbs4fPgwq1evpmLFinzzzTeEhYWxY8cOXn31VR566CE6d+7M559/zpo1axAR\nFixYQKdOnfj3v/9d2kM1lDAlOWmlAylKqX9LTk/rBvTKqgpQC51qnoguTOskCQi2kh9uRLcrcSdO\nRIYppbYD9wINgPrkrFgRDDRBJ2ScBEIusU/L5WlZ3I+ukIFSqoqIOFdob3CJ1VrufVpzbdryHK7t\nluyljdFXeJza4uLiaNSoETVr1mTUqFGuWoPr16+nUaNGLFq0iPr16+Pl5UWPHj2YP38+ZcqU4csv\nvwRgxowZ+Pj4sHDhQoYOHcqsWbMICgpiwIABHDt2jFWrVl1OxmX12XUvlJ21wfW3TysvT2seOiT4\nJzqk9zO6V9aVeFrOBJKVwFLrvQeuQvB8Cmx103IMePYyWvegw46CnuRet46PtTScsr67M79xG0+r\n8NhZm4jRVxRya1u1alWOWoPONiTHjh2T+fPnu1qRbNq0Sfz8/MThcEh6erq0a9dOFi1aJHFxcXLH\nHXeIiEh6errcfvvtrs/Foc9O2FmbyPXlaW1Fl0PK7WllAl+L9rQaAnut8909rQxghWR7Wv8j29Ny\nWAMEHdZbAa4yTg7r+GpyhvzWoSfIS9EY3YbkA3Tlje3WPV9Cp+17o1unbL+iJ2AwGC7iSso2lS9f\nnqysLCpVqkT58uUJDQ2lc+fO3HDDDaxdu5a6devSqFEjkpKSKFeuXD6/bLgeuOLwoFKqAjoNfEs+\np9qujNNlGIrONOyHXgmKNdZbgE/QNRQ/uNTFuVqT8MFXCy91aqlT2R/b6rOzNjD6CsNXH3/A1k2/\nE1S+PEPHvk/DG8sjInh5eeHt7c1NN91E5cqV+fTTT9m+fTuvvPIKmZmZJCQk8MYbb9CsWTPmzp1L\nfHw8kyZNYs6cOfj4+NC7d29GjRrFF198AUDTpk05fPhwocNUdg7B2Vkb2DQ8SHab+orocN8GYFI+\n19iujBM6K3BTrpezpmAyeoV3Cvi3dZ9N1rWbsLIW83tWJjxYeOysTcToKwzOck2RkZGuY99//73s\n2rVLoqKiZOjQoa62I1OnTpVmzZqJw+GQQ4cOSUhIiKSnp0tGRoZUr15ddu/eLa1atZKaNWvK1q1b\nc/zO1KlTZciQIYXWacdn58TO2kTsGx4sLyJngQeBaBFpav1jnx8OsToUiw71dUavfN61Ji0f9Gov\n1pp4/nK79gcRiUIXrPWmGFLeRaSZiDTO9VouIkp05+NA4EcgUSkVik4UcWryRE+2BoOhgORVrume\ne+5xlWtq3rw5Bw4c4LvvvuPdd98lNjaWMmXKcOHCBZRSHD9+nN9++42aNXUg5q+//qJHjx4sXLiQ\nY8eOAXDq1CkmT57Mk08+eXUHZygVCjppeSmlqqBTvhcV8Jqt6DqDuVHo1VaciNRAT1hfoLP9nOQu\n4+T+viRak2Dd4wLZrUkqoz2ycujsRQ90yPKG/O5jMBguTc+ePWnRogXx8fH06tULf39/l6fVsmVL\n/Pz8qF27tqt7cc+ePfn99995+OGHmTJlCrVr1+bgwYM899xz1K9fn5YtWzJ8+HBq165d2kMzXAUK\nVMZJKdUVeBX4RUSeVkpVByaIyEOXuUYBa4BPJWfKe390tmAIOtz4O3oflh+62vpRwB89cdWzvluN\n3qgcCXwsIj7W/XaiEzaeVkolo1duf1j32gqEor2uE2jfbBpQCT0B+QKn0Snu+0W3JvECvgJWiciH\nbmOphQ5F3iAiSXmM1ZRxKgbsrA2MvvzI3W4EIC4ujk8//ZSDBw8yZcoU6tSpA0B6ejr9+/fn4MGD\nVK5cmYEDB9K4cWMAVqxYQXR0NElJSTRo0IC77rqLrVu3MmTIEACWLVvGjh07GDhwYLFpL+1ndzns\nrA2uozJO1mQYxsWe1hvoicqZ8t7dOrcf2lfyJHuVE49eiTmANmivK83t/juBjyTb60qx3m9Ae29O\nr+uM2/V7yPa69gK3kN2aZCturUncfuc16x7B+Y3ZeFqFx87aRIy+/MjdbkREZNu2bbJ8+XLx8/OT\n9evXu44/+uijEhISIg6HQ44ePSpNmjSRzMxMSU9Pl5CQEDl+/Li0adNGHnvsMenTp4/cc889rmvH\njBmTZzuSolDaz+5y2AFZ7VQAACAASURBVFmbiE09LaVUbaXUCqXUn9bnm5VSrxTg0iwubk0CeiXT\nQEQaisgc69htwGkRyRTdLmQ+enX0LJAgInHWee4tSXeiEzVAe11lrPeLgamS7XWJ2/UrJNvr2obu\npHyC7GxHb7KzBxsrpdagK9MfBKoXYMwGw9+SvPyrevXqUaNGjRzHvvvuOxYvXsyoUaMoU6YMoaGh\nBAUFERMTQ3p6OiJCfHw88fHxKKW49dZb2bVrFwkJCaSlpTF79my6dOlyNYdmsBEFTXn/BD2BTAUQ\nkS1KqZnoPUx5YoUHFwCfS87WJG3QKewXXVIAHSXVsqSbiJy1NH+DzjScja4mPwMdxnzR+tzmcgJN\nGafCY2dtYPRdDmd5poULF+JwOFzHW7Zsybp168jIyOCee+5hwoQJjB07FhFh0KBBvPDCC/j5+ZGe\nnk5UVBQjRozg3Llz3HHHHXh4eDBv3jzGjRtHREQEHTp0IDMzkz59+hAVFVUq4zSUPgX1tNaLyG1K\nqf+JyC3WsU0i0vgy19yFrpbeKtdxhV61CLq80pvokF0vdPuQIOAZ4C2gNnpi2oL2wTLQmYATgY7o\n0k0DgB5AK+AfIhKjlPoWnaV40PozQkR8lFK70YkVBy05N6FT6aMtbd7oFd6XIjJHKfU9kIIuorsD\nuF9EeuUxVuNpFQN21gZGX35s3rwZh8ORozzT3r17UUrx9NNP89xzz3HPPfcAMG/ePGJjY/Hy8qJi\nxYps3bqV4cOH06JFC/75z38ybNgwWrZsyfvvv0/FihV57LHHSlR7aT+7y2FnbWBTTwtddqkGsNH6\n/DBW+aTLXDMQvTKbjfa0tgFL0JPMz+h09UR0WG85euLJQHtd+7H2RKGTL86iVzgKPdntRYcFj6P9\nKG+s/VTWNd+iQ35O7yoLqIr2tD5007gI6IAOJyajV15bAU/r+3ZktyVJBZrl96yMp1V47KxNxOgr\nCLnLMzkJCAiQzz//3PX5mWeekS+++ML1uVy5cjJr1ixZt26d/H/2zju8qir73+8mPdSEmlANzdCl\nCGikDIhAEBgJKqigYKGEKgjMiCCOQBQd/KEEFAUUkCr1CzooBBQhgqMoCIyU0EILLSQhff3+2Ofe\n3ISbYkjIIZz3efLk5txTPvveGTd7rbU/q1y5cvb8144dO6Rbt26FrtsMn112mFmbyJ3PaeU1PDgc\nnUu6Xyl1FjgBPJOH6x5HtyFxDA9OAhaJyGfGsS/QE9gVIFVEGimlngdaAohIlFJqp/FalFLJQC3j\n9TQgSURSlFKljHvYJq1LInLdeMY36NXWImCRTZyI9FBKeaOLO4KVUqWNsU0ApgPzgI9EZIRS6k3j\nvn55/MwsLCyyITAwkDVr1vD000+zbNkye9fiqlWrkpCQwHPPPYeHhwflypWjefPmRS3XwkTkOmkZ\nTustRaSzUqokUEJEbuR2HXdhaxIRuaGU+i964/R0dOFFmHHqVHQVYY5YOa38Y2ZtYOnLDls+a9my\nZaSmppKWlka1atV4/PHH2bRpE2fOnEEpxZgxY1i6dCkbN25k+/btbNiwAXd3d8qUKcMjjzyCq6sr\ngwYNwtfXl+PHj1OyZEnOnj3Lk0/m2hHI4h4iLxtu0w0PwJUiEp/b+Q6YrjWJM5HGCm0nusDDxbjP\nRaVUY3TIcAK6gvEN4/zyInI5yz2s1iQFgJm1gaUvO2ztRtq0acO0adNwc3Nj4cKFnDx5krZt2/L+\n++8TFxfH+PHjqV+/PuPHjychIYHvvvuOq1evMmHCBC5evMjVq1cZMWIEJUuWRESYMmUKPj4+bN26\nlQYNGhTqGMzs72dmbWBe78HJ6Oq56uhKOl/AN5drsvMeXIi2SrqGnlDi0fu2nsa59+BGdK6rUFqT\noPeE2fZp3UBPYK7Ge7+j81zp6En4EtrSysppFQJm1iZi6cuNEydOSN26dTPt0xIRad++vdStW9ee\npxo2bJgsWLBA4uLiRESkWbNm0qxZMxHRbUYuXbokycnJ0r17d3nwwQclPDy80LUX9WeXE2bWJmLe\nnNYg4/dwx/mOnPctHQRC5NbqwdnoUN5EEZln5LT2GZODzefP1ppkmFKqFro4I7vWJHFgXxE6tiZJ\ndHhstq1JRO8Ja6WU+gy9gnPcZn8ZXXyxz1iRHRYjT2ZhYZGZkSNHcuLECQCqVavGm2++ia+vL7t3\n7yY9PZ3g4GCaNWtGnz59WLNmDe+88w5paWlERUXx4YfagCYpKYmAgADi4+MpVaoUAwcOtLoRW2Qi\nTyXv+bqxOW2cahnP9kbnutaKyGtKqX8Zz+or2sPQNoZd6BXeXqXU22gX+VvyWllak7R4Y/Ynt/vx\nFRqVveDCzaJW4RwzawNLX3ZsXjKPPXv2ULJkSXtoMCIigkWLFnHq1Cnq1KnD0KFDeeCBB0hNTSUs\nLIyffvqJmzdv4ufnh5+fHz169ODDDz/E29ubEiVKoJTCz8+Pnj170rJl7lXQt4uZy8rNrA3MW/I+\nwNlPHq4zm43TMXRI8jf03qtkdFhS0N6CtnYlLxr3OWicn2ho9shtzFZ4MP+YWZuIpS87bPZNjqHB\nP/74Qw4fPizt27eX5s2by7x580REZOnSpfLUU0+JiEh8fLzUrFlTmjdvLgcPHpSaNWvKpUuX7Pdd\ntGiRDB8+/I6MwczfrZm1iZg3PNjK4bUnetXzX7RbRE7kZOM0xskzrolIGnBBKfUVuhT+N2CTiEQY\npfB5tXGylcLbbZyUUm8BD4vISwBKqS3AGRFRxt8bgAARWWDcZzQwDV0kUgMYmOX5Fhb3PO3atSMq\nKirTscDAQKfnKqWIjY3l+vXrpKamkpKSgoeHBw0aNCA9PZ3z589ToUIFUlNT2bx5M4888sgdGIHF\n3USeJi0RGeH4t1KqLLqdSLbcZTZOKKWewMiPOTAdGCciO5RSnwIvYU1aFha3kFM+S0SYNGkSX331\nFZs2bWLZsmWUL1+e9PR06tevz5dffmm/T+vWrUlPT8fHx4c+ffowZMiQohqShUnJV07LsDv6TUSc\n/3OKu8vGCb2i+xqdl1opeoOzK3oPWRn0xLYOaC4it2wutmycCgYzawNLX3aEhYWxa9cuEhMT7fZN\ntpzWyZMnmTRpEg899BClSpXi119/JSwszO43GBcXx9y5c3F1dWXatGncuHGD9PR0bt68yeTJk2na\ntOkdGYOZv1szawPz5rQ2opsjbkBbHx0HwnK5ZiTwbyfH++DcxqkDuqT8Tts4dQD+DfzdeNYB472S\n6JVXFDq3tRO4kdtnZeW08o+ZtYlY+rJjx44dsnHjxkz2TbacVtmyZWXx4sV2bZ07d5bWrVuLiM5p\nlSxZUubMmSPR0dHy888/i4hIbGys+Pr6yrhx4+7YGMz83ZpZm4h5c1qzHF6nAidF5EwervNWSi1H\n56uSjAngAs5tnFKB0iJS8Q7bODVDW1L9DV21WEEp5SIi8UqpTmi/xCroyS8lj5+XhcU9Q7t27fjh\nhx8yHcsup1WhQgUOHz5MSkoKMTExpKSk0LRpU8qUKWP/13qJEiUQEXx8fApdu8XdR14nre4iMsHx\ngFIqLOuxLBxEh/5ek8w5rX/k4XmFlrtyQlvj/bLGOeXQVY0N0KvCd0VkplJqFjqEmSOWjVP+MbM2\nsPTZiNk8m5vH9hJ4XzUOHDhAv3792Lx5M0lJSSileP3112nevDkjRowgNjaWgQMH4uXlRb169ezd\nib28vEhPT6d06dIMHz6ccuXKceXKFVxcXLh58ybp6emEhoYW+lgs7j7y2prkvyLSPMux30SkSQ7X\n/A294nlVMu/T6o4O08WjJ6aKQGOgDvCtiHgae6IGoS2cqqLDkeNFZLZSStB9rezeg+iy9hqAn4h4\nKaUWAB2BP8nwHnxRMhpBZtUaifYtdAfqo8OTj6MLSR5Brw5XAEFi5bQKDTNrA0ufjf379+Pl5cWM\nGTNYuHAhAPv27WP27NlUqFCBoUOHUr9+fQCGDRvGtWvX+PjjjylVqhS///4769evZ/z48Tz55JOU\nKlWKd999lw0bNuDp6clTTz3FqFGjePbZZ2nXrl1OMgoUM3+3ZtYGJstpAUPRq454dDGE7ecEuudU\nbjmtL9D7pVLQe50uAm+iw4QH0HujYtA+hCFAunHt82TYOK1A56ccbZy6Ga8PGefZ9mOlGccXoPdm\n2XJaCeiNw9lpfRvdN0vQ9lK21iQ23Yno0GN6bvFWK6eVf8ysTcTS58iJEycy2TXZ/m7fvr3drklE\npHXr1hIQEGDXNmzYMPn8888lOTlZKlSoIH379pXly5fLK6+8InPnzpUuXbrIe++9d8fGYcPM362Z\ntYnc+ZyWYwjOGcvQK44Nxm/bTwsReTbXGVHv55ouIm4i4gl0Ae5HtytpJLr6cAs653UeXZRhY6uI\nNBSRp4DdZNg4JaMr/UDnwj4XkRT05Gpzn/8BXQV4XUQS0RWH53LQuRFtSRUPfIfOb4G2jPI0tE/B\nymlZWPxlzp49y0svvUT79u1JS0tj27ZtuLq68u9//5s1a9YwfPhwDh48yI8//khgYCBjx44taskW\nJibHnJboQobrQD8ApVQl9MqllFKqlIicyuHyu6I1iaFrjzE+0BN0L2ArepOzn4icQ7uAXMxhvICV\n07odzKwNLH0xm2fjfX4/lSpVYtOmTQCsWrWKF198kdjYWFxcXHBxcWH9+vWcPn2aESNGcPHiRVJS\nUkhMTOT999+nZ8+etGrVioYNG3L48GHuu+8+jh49Sp8+fViyZAmNGze2572mT59O9+7dC208Fncn\neSrEUEo9DryPtmW6CNREh+Ya5nCZ6VqTOOSuHHkZOG1MTKBzbt8brzcAA5VSX6JzXfOdDdRqTVIw\nmFkbWPr2+/XAy6svM2bMYM+ePcTHx5OQkMCcOXN4//33GTp0KOHh4VSrVg0fHx+WLFnCG2+8QYkS\nJQgICODGjRtUrFiRbt264erqyvnz56lUqRI7duygffv2REdHM3PmzEzPvFMtL8zc/sPM2sC8rUn2\nA+WBX4y/O6KNa3PLad1trUnSgDlktCZ5H53PSkcXZ+TYjkWsnNZtYWZtIpY+kYzcVdacli2X5ZjT\nWrt2rQwbNkwmT54sQ4YMkWPHjom/v7/89ttv8vDDD4uvr6907txZRERef/11GTt2bKHrzw4zf7dm\n1iZi3n1aKSJyWSlVQilVQkS2K6XCcrnmrmpNYmiLk8yWVSuBd4EzaGPfK05uYWFxT3H69Gnatm1L\nTEyM3bIpJiaG4OBgrl27RnBwMI0bNyY+Pp7Q0FDGjBlDeno6kZGRzJs3jzfffJMPPviApUuX8vHH\nH9OkSRNq1qzJokWLinpoFncBeS15/xboDcxEr7guAq1E5KEcrrlrWpM4aI4TkUy1m0qp+uhQqItk\n82FZrUkKBjNrg3tXX+OqZQkLC8u1/cirr75qL3UPDw/Hz8+P+fPn07BhQ5o0acKAAQN49dVXOXDg\nAP7+/owaNYoVK1YwY8aMghf9FzFzWbmZtYHJSt4lI4RWEh1+c0U7nY8EyufhuruhNUln9L6vM+gw\n4Bm0Z6LtGVMdn5nbjxUezD9m1iZyb+vLS/sRx1L3oKAg8fb2Fm9vb/H09JTSpUvLnDlz5JlnnpFK\nlSqJm5ubVK5cWby8vOSZZ54pNN15xczfrZm1iZg0PCja0qgmUFdEFiulvI3JJTfuhtYkiUAT9Grs\nOroI4y3j/abAY4CLUmoj8IyIxOZh3BYWxYq/0n4E4NVXX2XXrl2ULFmSH3/8kdq1axMaGkpoaChR\nUVH2po+zZs1iyZIlhazeojiR2z4tAJRSLwGryaieq4p2u8jpGltrkggRqS0iDdAWTpeBFs4uyYOU\nfNk7kblK0pm905Mi0hRdhVgR6Gu8vwCYiN54vBYdYrSwuCextR85cuQI1apV49NPP2Xt2rXs3r2b\n33//neDgYB577DHi4+MJCwtjypQpRS3ZohiS10KM4cCDQCSAiPxp7NnKiY7oiSTrPq39wGtKqbNk\nbk1yHSirlHJBtybphZ4kPIEaSqkO6NL4xUqpG2S0JlmtlJqKNuftKSIb0Hu6aht7uWqjc10Ak4Ey\nSqkg4+/7gDWSYe/kapxrm/zqo93dQe/b+sa4Ryaylrxb5an5w8za4N7TZ8tjlStXjoULF9K/f3/2\n7NmDt7c3p06dIjU1FR8fHwIDA3nuuedYsmQJO3fupFmzZvTv3599+/YRFRWFiPD1119Tq1Yt2rRp\nQ+/evYmP1zVT48aNM8Vnaubv1szawLwl75HGb1vJuyu6n1ZuJe93RWsS4/U36I3Oy8iwcTqL3jOW\njlGin9tnZeW08o+ZtYnce/pseSxbDuvEiRNSp04dex7LlsNq37697Ny5U77//nsJDw8XPz8/qVmz\nptSsWVPKlCkjJUqUkJdeeklERAYMGCBLlizJVC5vBsz83ZpZm4j5bJxs7FBK/QPwUko9akw4G/N4\nbVaCgK/Qobk0Y7Iph56QLohII/Rq5mjWC42B2VqTPAWEA+tE2ziVQk9woCetryTDxsnemkREQh3u\n10OMVZaIPIbe8OxBho3T+8bfiegJ0lZSb2FR7GnXrh2+vr6Zjnl4eNgrBB3x8vIiKCgIT09Pnnji\nCaKiooiKiuLJJ58kICCA/v11g4TOnTuzZcuWO6LfoniS1/DgRGAwutrvFXSPqQW5XHMQbYKbFYXu\nNjxLRJ522KdVweGcrLkrx9cF3ZrEjogkKqU2AL2UUtuBCcB9IhKjlPoE7ZaRI5aNU/4xsza4d/T9\n7eIaNm3alMmu6eGHH+ann34iNTWVypUrU65cObZv307v3r05f/48bdq0wcPDgyFDhtjv88EHH7B2\n7VquXr3KZ599RlBQEP/4xz+4dOkSaWlp9j1egwcPvm3NFvcOOe7TUkrVkJz9BXO69q7YpwVMQ4cr\nbRNjTfSK6nF0HqsFOlx5CNgtIs87GavVmqQAMLM2uHf0ObYemTFjBpMmTWLq1KkopTLZNQ0dOhQP\nDw/eeustwsPDuXz5MsOGDaN9+/b06tWLadOmER4ezr59+5gxYwb+/v488MADnDt3jrfeeqsARlxw\nmPm7NbM2MNk+LeC/Dq/X5CXemOX6ptzamuQjnO/T+id6RVSY+7SeRxd92HJdJ4EHyLBxikVPcDYb\np8/QqzlbWPLd3MZs5bTyj5m1idxb+vJq1zR9+nSZPn26/f2GDRtKnz59ZOXKlTJ48GD78RdeeEHC\nwsJk/vz5Mn78+ALTWVCY+bs1szYR8+W0HMvQA3I5N/OFeqU1j1tbk6Sg92k1EpHGImLbZxUAnBOR\nNNHWSl+hV0cjgBOSUeGX131a8yWjZYk4XP+dZOS6/gBKikgr9CbiTYaGVKWUG7oKcTd6gvsYvfqz\nsLAwOHv2LNWrV7f/7evrS1xcHI0aNWLnzp1cvnyZqKgoIiMj+fPPP5k7dy4vvvhiESq2uNvJLc8j\n2bzOC9mVvG8EFhkFHQL8y5i47BOksYm4FbrgAzJK3lOBVwyPwc7ocN/9Rsm7Gxm9v5qgS94fQYcB\nbZMZOMl1KaVKAWPRIT5bbK8Zej/aMyKSpJRaic7t5YiV08o/ZtYG94a+qJnBDBo0iPXr13Pt2jW7\nx2D58uXx8PDg3LlzdOnShfj4eIKDg/Hw8ODixYtMnTqVkydPAuDq6krHjh0BqF69OsnJyaSlpREV\nFcWnn35KvXr1bnusFvcuueW00tChOYXOMyXY3kKvXsrkcO1IdBHDmCzH+6DDbuOB9ejQ3Mto54kX\n0ZWEw9DdhOuhVzm/oXNRqWjHimD0Cuo42kj3IXQI8H8i0kwptQ54BL16SzJ010T34yqDLmUHvU9r\nNHqS2wn8gnbfaKSU8keHD2cD7dAtVb4XJ80vrZxWwWBmbXDv6Nu/fz/x8fFMnTqV//znPwCcPHkS\npRTDhg1j5MiRdOnSBYAPP/yQbdu2sXz5ci5fvswLL7zAu+++S+PGje33S0tLIzg4mP79+zNgwIDb\n1lcYmPm7NbM2MFlO63Z+0Pu05gPL0Z5/f6CrDheiVzU2T8Jr6InrafSklNs+rTR0kcUK9D6vBcZ5\ncWgbKNAl73sctKSiS+2f59Z9Wi8CG42/t2K0RzH+vmJcK+gJ7STGRJ/dj5XTyj9m1iZyb+n7/vvv\nxcPD45bjZcuWlcWLF9v/HjVqlFSpUkUSExPl+PHj4uXlJd9//72IiFy4cEFERL744gtxd3eXK1eu\nFJi+gsbM362ZtYmYL6d1OxxEdzzOauNU0phcnhSR2uhCi7fQRrWpovdpTUKvohCRKHRrEds+rZsi\n0lD0Pq1FwGHjvVJkhDvXoYs9bHyNLq64ZZ8WOqzYQil1EXgYcDc6IdvG8AK6b9dL6AnMsTTfwqLY\n0a9fP5544gmSkpIy2TVVq1aN2NhYxowZw2OPPQZAamoqQUFBNGjQgK5duxIUFMT58+cB6NOnDw0a\nNGDkyJEEBwfj4+NTlMOyKCbkdZ9WfrDFHdMcjrmhJ4LJSqmx6DLziuhQYR2H8wKBvyulQtF5pfbo\nVVEEUNLo5dUZ8AE2GpNMDTJMfIOAjkqpr9E5rWx9DUUk3Ngr9jVGMYaIdDDeXoruroxxf3e0Q0Ym\nsrQmYc7S9dk9rsip7IVp9ZlZGxR/fY2rlgXg2rVrJCYm4ubmZjezjYiIwNXVFRHhlVdeoUuXLkRE\nRHDmzBn7+S4uLly9epWDBw+SkJDAuXPnEBGuX7/Oli1bCA0NJSTE2dbNosfMVklm1gYmtXHKzw/Z\ndy4ORYf1DqD3PsWgnSiCcN65eAW6DN2xc3E34/Uh4zxbaXuacXwBhpchOieWAPTNQes54ATwJ7rE\n/VegMXqSWoLO6x0G/pbbuK3wYP4xszaRe0ffjh07ZOPGjZnCg7Y2JFnDg6NHj842PCgism7dOunc\nubP4+PhIVFRUgegrDMz83ZpZm4hJW5PcBvEi8rLjAaXUv9HFDW3QFYKu6BDheDJbN20VkVCjc/Fv\nZHQuTkavikBXFzq2ILlhHP8BHU28bjxzB3piugWlVDP0h/W48axNItLMeM8dPeEp9ORnxTcsij3t\n2rXjhx9+yHQsuzYkkkMhF8CXX35JkyZNOHfuHDVr1iwwjRb3LoWd08quBUkoRq4LPWF9QQHYOJF7\nCxJntEXntKLQk109h5zWP9Ebon9CtyvZkc09LCyKDQWV00pISGDr1q1cuHCBTp06FeWQLIoROZa8\n39aNzWnj9ClQHj0JeqArFzuLyO/G/WphlLwbf58G7keHNceJiGNxh+NYrZL3AsDM2uDe0GdrR1Ky\nZEnc3NxYuHAhERERLFq0iFOnTlGnTh1effVVu2nusGHDOHfuHKVLlyY0NJSIiAhatGjB6tWrSU5O\nJjU1lQsXLvDJJ59k2oRsNsz83ZpZGxSjkndjMvTn1pzWWzi3cRqCLlu/0zZO1R3uVws4YLwuh863\n3UCv6BKB7bmN2cpp5R8zaxO5N/TZ2pHUrVvXbt9ky2e1b99emjdvbm9JcvDgQalSpYpMmzZNjh8/\nLgEBAfLoo4/Krl275MaNGyIisnr1ailTpox89NFHt62tMDHzd2tmbSLFq+Qd4z/26cZrRUYVnzMb\np1boUvg7beNUUykVoZQ6gi6VTzUaXLqiV2VX0Dm1aDJyZhYWxRJn7UgCAwOdtiNZv349Tz31FKtX\nr8bf3x9/f38OHjxI69at7f/yXr58OeXKlbsj2i3uDQqtEMMID64FFovI08axZugVT3tnl+Thtllz\nXZ4Or2+3Zckz4hD+M/QnoF090pVSg4APchNo2TjlHzNrg+KtL2bzbLzP76dSpUoEBARw4sQJADw9\nPSlbtixVqlTh8OHDiAjdu+sOPenp6Xh4eNC6dWsaNGhATEwMgYGBNGnShLS0NGJiYrh8+TKjRo2i\nQYMGBTZOi3ubwqwezM57cD/wmlLqLHoV8y90yO46UFYp5YK2ceqFXml5kuE9GAUsVkrdALoBDYDV\nhvegt1Kqp4hsQPsG1lZKdUbv03I3JEwGyiilgoy/7wPWOBMvImL4JHYAtqFXgnHOzs2S02Jl15J/\n4WO6s8TFxbHIpPrMrA2Kt779fj3w8urLjBkz6N+/P7///jutW7emTJky9O/fn2XLltlbiuzdu5f4\n+Hhu3rxJrVq1+Oyzz1izZg1vvPEGZ8+eZeHChQCMHDmSV199lZUrV1K3bt1cFBQtZt4LZWZtUPz2\naTmzcQpF+/ytQk9CycC35N3GSdC5qBXobsJ70bmrBOBX45p16OILW+4qHaiOcxunx4xzE4GbhjZb\ngcoC9MrMFua8kdu4rZxW/jGzNpHiry9rO5J69epJdHS0iIhER0eLl5eXvR3J0KFD5e2335Zx48ZJ\n7dq1JS0tTR588EGpV6+eJCQkSHx8vLRo0UL++OMPmTp1qgwZMqQARlh4mPm7NbM2keK3T+txYJpk\nDg9OAhaJyGfGsS/QE9gVDBsnw+W9JWgbJ6XUTuO1KKWSgVrG62lk7NMqZdwD9KR1STL2aX0D1BSR\nRWjrJ4z79VBKeQNDRGSVUsoXPcG+i64WfBHtTYhSahHa5snC4p7gwoUL+Pn5AeDn50dycjIAoaGh\n9OzZk5UrV3L16lXWrFnDyZMnuXTpEr1796Zy5coAjBgxglq1avHtt9/aQ4oWFrdLYU5aboC33Boe\nPAf0NWycBLjq5Nq2aOd2G63RIb8IdKhvphH6y2rj5GGc78zGyelYRSQBowWKiFxRSu0Fmjs5tR66\nGjJHrJxW/jGzNiie+qJmBgM4bUeSlpZGgwYNuHr1KlevXrW7tVeqVIn4+Hj8/f0REfr06UNAQAB9\n+vRh/vz5VK5cmTNnzjB9+nQWLFjA8OHDadu2bWEM2eIepDAnrRTgplLqJcm8T6sKOj/kh/b1+w0d\nJnRscxIDVFBKlUB7D2YtP4oQkQlKqUNAV6AROr/1X4dzKqAnnyT0CqyiM5FGkUYkutTexbjPRaVU\nY7St1J9KqZro4yj79wAAIABJREFU/VqHsrmHldMqAMysDYqnPlsuomnTptSpU4epU6fy5ZdfAtCz\nZ0+aN2/Oiy++yIIFC9iwYQMrVqzgueeeo169ekyePJlr164REhLCyJEjOXjwICEhIQwYMIDY2Fj6\n9u1Ljx49aNeunZWXuQ3MrA2KX07rC/R+qRR0zugiuvBhCxn7tHaiNxuHAOnGtc+Ts/egLee0A9hi\nvC6B3QieBcBBBy0XgRHZ6CyJtnhKNu69A3Ax3vvA0HDFeO/J3MZt5bTyj5m1iRR/fVnbkfj4+Mik\nSZNERGTSpEni4+MjIiIPPvigtGzZUtLT0yUyMlJcXFzkwoULsnz5cunUqZOkpKTI3LlzpXLlyrJh\nw4YC0VbYmFmfmbWJFK99WgfRFYDTRcRNRDyBLugy81Vi7NNCF1UAnDcmDtAFGd9JRguSX8jwHow3\nBgiwHfgO7DZO8cbxH4z3bPyEniBvQUTigb+jJ9MUEWkvImnGe6PQHonuxniO5+uTsLAwOc6sm1JT\nU4mMjKRu3bpERkaSlqYbNnzxxRccO3YMd3d32rRpw+jRo6lUqRIhISHUrl2bxo0bM27cONq0acPj\njz9exCOzKG4Upo3T39AFEa9K5vBgd/RKKp6M1iSN0a1JvhURT6XU28AgdGiwKnqyGC8is5VSAryD\nQ2sStOtFDcBPRLyUUgvQJfd/kpHTelEyNhhn1fovtGXUY6L7cjm+txgdgjxENlZOWVqTtHhj9id/\n+fO6U1T2ggs3i1qFc8ysDYqfvqUfz+HIbz9Trlw5Fi5cyPnz55kwYQIVK1bk/PnznD9/nrVr11K6\ndGmWL1/OJ598wn333UdsbCyXLl1i3bp1nDx5kvHjx1OpUiVcXFzo0aMHHTt2ZPDgwaxevRpXV52B\nuFesiAoDM2uDYmTjhAlbk6BzV79m+els3PMQehX4K3qCA3gAXao/E10E0jK3cVvhwfxjZm0ixU+f\nzbLJZtd04sQJqVChgsyYMUNERCpUqCDDhg0TEV3ybvvfdsuWLeWBBx6wH2/ZsqVERkZKbGys1K1b\nVyZOnCgvvfTSbWm705hZn5m1iRSv8KBtgslq49QCXQbfSEQC0fmtVk6u3SoZ4cHdZN+a5HPJsGty\nbE2yUjLsmnYA50SktYg0y/LzrYgoQ4ugOxwvMIpA1hqauwJNsLoWWxQjnFk2xcbGMnDgQABCQkKw\nmT8vXryYXr16AbpJZNWqVQEoUaIE0dHRBAQEULp0aQIDA1m3bh39+vW7gyOxuJco7JxWP4wWJCLS\nAPgHuvAhN/Jl10T+WpMAoJR6goxuywCljR8vdPViaWCNUir35auFxV1Gv379aNu2LcnJybRq1YpP\nP/2Uf/3rX1y7do26deuydetWJk6cSEJCApcuXSIuLo7GjRvTqVMnwsLCqFChAlFRUezdu5fr16/T\nvr0zpzYLi9unMEvebRNAmsMxN/RkNtnYp2XLaY1H57RsBAJ/V0qFonNa7dHuFRFASaVUGA45LYd9\nWi7G9c72aaGUiiRjL5eN59Bdi8eSUQiC6I3J5W1/K6WOA/+VXHJaFStWtMpT84mZtcHdr8/WdsSW\nwwL4888/OXbsmH31dOPGDZYsWQLA77//jpubG8ePH+fZZ5/lt99+Y9u2bTRo0IBx48bx/PPPExQU\nRLVq1diyZQujRo1iyJAhtGvXjp07d/4lbUWNmfWZWRsUv5J3U+W0ctC619CRji7Pn+rw3ttoW6l4\ndO8tK6dVSJhZm8jdry9rDktE5OWXX5bKlSuLiMiMGTPEx8fHbt10+vRp8fLykm7dusmqVatERKR3\n796ydOlSGTlypPTr10+GDx8uycnJ0qVLF3nvvffyra2oMbM+M2sTsXJajhR4TsuZQKVUG/QqLQY4\nim6PMtV473n0CuoyehIc+Vc/AAsLs+Ash7V161Z76xBbLmvx4sUADBkyhIcffphKlSoBcP36dXbs\n2EGNGjW4cOECXbp0QUQYPHgwgYGBjB079g6OxuJepTDDgwfRDu6vSWbvwX/k4drCbEGSlQfRYUVP\n45zySqnfRKSJ8f4KEQk1XDFy9cixbJzyj5m1wd2rL2pmMIMGDWLTpk2UK1cOd3fd9KBPnz6ZWpC8\n8847pKWlsXXrVubPn09MTAxxcXH2/NQHH3yAUorHHnuM6tWr4+Pjw4ULF1i7di2NGzemWbNmAEyf\nPt3yGrQoNKycFjwnIv/PeL8WuqvyHOO9yg7n9QQOOxuoZeNUMJhZG9y9+iIiImjatClt2rRh2rRp\npKSkEBERgZubG+7u7nzzzTcsW7aM3bt3k56ezuTJk5kyZQru7u74+Phw7do1Dh48SEBAAD169MDT\n05NHH32U559/ng4dOrB9+3anz8yqzcrL5A8za4N7J6d1Gh1uS8Zwv0C3JnGW09ponFNoOS0HzU0M\nTQHG39fJCHHGAw/mdg8rp5V/zKxN5O7Xd+LECalbt649p1WvXj0JCAiQ6OhoiY6OloCAAPteLF9f\nX/H19ZWSJUuKh4eHVKxYUdauXSv9+/eX6tWrS82aNcXFxUVKliwpEyZMuG1tRY2Z9ZlZm0jxy2nF\ni8iTokveG4pIMHrlkwRMEBF34EtgA3pFdtTh2q0i0hAYYUw6hZLTsmGEFsPQ4UybXVMT9KTngp4c\nP8vPh2BhYUYuXLjAE088weLFi/Hz8yM6OppevXpx9uxZGjVqxMWLFwkJCaFNmzbMnTuX3r17s3Tp\nUk6dOsXKlSupWLEiAwcOZObMmUU9FIt7iMLOaYU4OV4dvSKa53DsBNrtvbJS6gB6heToqF4C7IUR\nypiVQa/OvjNexwLuSqmf0RPNQYew4WXA1bi+J+CNnjzXishrxvUfA3+KyGzbQ0XkpPFcN+As0Cm3\nQVs5rfxjZm1wd+qL2Twb7/P7qVSpEgEBAZlyWMnJyfz0008AfPrppyQnJ7Np0ybmz59PjRo1OHDg\nAAAJCQmMGzeOf/3rXwAcPXoUb29vXnnlFa5eddZZyMKi8ChM70EF7AEWSGbvwTfR7T9qA77oHFJr\noDcwCz1hdQdWA/cBNdErp07oLsYfGys0lFL/QxvrDjU8CRNFew/+jM6V1TaetRNt3vspUA29ahJ0\n7qw7uityIDqEaKt2RCnlh24a+SB6JecuIm2cjNUxp9XC5iJgRszsY2ZmbXB36tu/fz9eXl7MmDGD\nGTNmMGnSJFq3bk2ZMmX4+uuvadeuHWlpaYSEhDBs2DAWLFjAyy+/TGJiInFxcbi6uuLp6cmrr75K\nUFAQsbGxPPHEE4SGhtK7d+/b0mYmzKzPzNqgGHkPGpNhU25tTfIReqKytSZ5yjh3BboyEHThxHHj\n2o3ofFIHdK4r2eH+/wPCjddJQJzxej2w23hdwni+7fpPHK7fgnZ4F+OcrN6DHwFxwE10WPLV3MZs\n5bTyj5m1idy9+k6cOCENGza0/65Xr55ER0fLuHHjZNKkSVKvXj2ZMWOGjB8/3n7NlStXxN/fXwYO\nHGjfo5WUlCTNmjWTWrVqFZg2s2BmfWbWJlKMclrGSmset7Ym+RNIEKM1iYisMC6JBy6AvSnWLnTR\nxgjghGiH9lR0kYWNU+jJDvSEZ5vuf0G3GkH0yilJMhzes5bCX0V3Sq4B3BTtR2h7RiVguIh4Ae8D\nL93GR2JhUWScPn2atm3bcuTIEf788082b97MxIkTiYyM5OjRo3abJhuffvop3bp1y3SPlStXsn//\nflJSUmjWrBnNmjXj119/zfooC4tCpbBbk0wVkXZZjit0fkjQzRX/hV5V9QdeRPv8DUM7UdRD56d+\nQ+eiUtFFFbOAbujQXyg6t9UO6C0iG5RS69ChwbPG75oi4m7ktFqKSKihZRMwyzahKaXibBOfUqoU\n8DM6LHkeWAr0NCawrGO1WpMUAGbWBnePvqUfz+Hgr/uo4OuTa8sREeGxxx6jYsWKeHp6MmHCBOLj\n45k9ezYtWrTgl19+AeC5557jkUceISQkhIULF96ySTk37pUQV2FgZm1QjMKD6JL3fzs53gedY1qF\ntnNKBr5Fh+8uocOGp4GvjfNroYssOqDDhoJuHLnCOH8vuuQ9AfjVuGYduvjCVvKeji4AOWZcY2tL\nch14wUFbnMPrysY9zpJRri9A+ZzGbYUH84+ZtYncPfr+SsuRL774Qry9vSU9PV12794tjRo1koCA\nAJk/f7507txZUlJSJC4uTlq0aCHLli2TRx999La0mRUz6zOzNpE7Hx4szOpBAG+l1HK0TVMSepK6\nACwSkc8AlFJfoCewVKC0iFS0rYgARCRKKbXTeC1KqWSglvF6Gjr0l2KsjK4Yz10HXBJteotS6hv0\naqu2M5FGlaEf4KWU+hXoIiIXlFIt0EUgddDmuecNnRYWpqVdu3ZERUVlOuas5chHH33EnDlz+Nvf\n/oZSCn9/f44cOcLq1as5cuQI7du3x9XVFVdXV5o2bcqcOXN46SUrQm5RtFitSTJ4hoyc1kXjWHdg\nk4h4ABOAsraJ0MLibiC3liPHjh1j6NChAEybNg0RYdy4ccybN4+ZM2eSkJBATEwM3333Hfv37+eJ\nJ54o4hFZ3OsUdk5rHbrizrHkvTu6ii+eDBunxujVzLci4qmUehsYhLZwqorOeY0XkdlGafs7ONg4\noasUawB+okveFwAd0UUfNhunFyWjGCOr1lj05uM66IpG0C1LPgBeF5EflVLTgdFAScnyoVkl7wWD\nmbXB3aMvLCyMXbt2kZiYyH/+8x8AevTowf3338/58+epUqUKhw8fZtOmTUycOBF3d3eOHTuGp6cn\nbm5ujBkzhvr16zNy5EgOHz6Mi4sLFSpUoFevXoSEONt6mXdtZsXM+sysDYpfTutuaU1iK8sX47qp\nDsdPoEvrFxjjqJDTuK2cVv4xszaRu0ffjh07ZOPGjeLh4WF/z8fHRyZNmiQiIpMmTRIfHx8REena\ntas0adLEntPy9PSU6Oho2bVrlzz00EOSmpoqqampUr58eXtO7Ha0mRUz6zOzNpFiVPJucDe0JvFG\nT0rH0Ia4V9ArO9BhxTggwOGZhbM0tbAoINq1a2dvN5IXdEGvRowgQnp6OnFxcSQnJ7Nv3z7i4+MJ\nDg4ucK0WFn8VqzWJ5m0R2a6UckdPfiHA5+iV1ifo/WUl0Cu3K9neBcvG6XYwszYwr77YfeuJ2/8N\n5T2ECePGEhkZydq1a0lKSsLd3Z3SpUtz7do1IiMjqVu3LnFxcVy7do3AwEDS09Np2LAhderUwdvb\nm8aNG3P27FlatmzJmTNnKFWqFEopnn/+eRo3blzUQ7WwsFqToEORtjyWGJpsxRYrjXulozcgb3OY\nMO1YrUkKBjNrA3PqO3HiBNNWbGXZF/NJSkpi2rRpjBkzhl69ejFp0iQWLlzI3LlzWbduHZMnT+bb\nb7/lxx9/JC4ujn//+9/06tWLfv36MXKk7m86duxYfv75Z44cOULdunWZMmUKAOPGjeODDz6gadOm\n+dJptdfIP2bWBndeX2FOWo3QdkqTlVJz0ZNXLBCOMYmQETJUQBXA3Tj+p3Hu7+jcV2yWe0eIyASl\n1CGgq/GsBsB/Hc6pADRHr7iuABVFpHVWkUqpCsAxpZSHgy6bFcCnwHa092AqGSHCTIjIx+j8HfXr\n15cOHTpk95kUOREREZhVn5m1gTn1Xbp0iU6dOtG1a1ciIiLo3bs30dHRPPnkk5QsWZL27dvz3HPP\nUa1aNerXr8+5c+eIjIzE39+fVq1a4enpSdWqVe3jio+Pp2fPnixZsoTg4GC7K8bevXtJSkrK9/jN\n+Nk5YmZ9ZtYGd15fYee0OnGrjdP9OM9pnUfnq2zckZwWukijN1AKPUGdAeoa71VHhyZXoEvirU0q\nFqaiUaNG7Ny5k8uXL5OYmMjmzZs5ffq0/f3vv/+eypUr06dPHxYvXkxISAgXL17k9OnT1KhRgwED\nBvDVV18hIuzZs4eyZcvi5+dHjRo12LFjB6mpqaSkpLBjxw4CAwOLcKQWFprCXGm5Ad7i0IJERH5V\nSp0D+hrhQUF7/2WlLfCQw9+tgWbo8KA7MFMp5Sw8aAv9OQsPOh2riCQA25VSn6ELMo6gneBBT1If\nGfdDMvZvZYuV08o/ZtYG5tIXu289/ud/RERo3rw5jz76KGfPniUuLo7//ve/zJs3DxGhe/fudO3a\nlVOnThEeHs7kyZPx9PTkxIkTKKUICgqidevW9pzWwoULAb0Bedu2bTRu3BilFF27duXxxx8v4lFb\nWBTupJUC3FRKvSSZ92lVQa+s/NArmt/QJfBlHK6NASoopUqgc1pZS6HyFR7MJqf1HPAUusjiVbTf\n4AfGe/WM392AhwxvwltChFZOq2AwszYwjz5bHmtWeDhubm689tprjB07ls2bN3P48GHatWtH7969\nSUtLo2/fvvj7+3PgwAE2bdrEe++9x86dO9m+fTtVqlShdu3aBAQEMHjwYCBzfqJfv37069fP/tzb\nyVtYeZn8Y2ZtUAT68lIXn58f9D6tL7i1NckadEjQ1ppkJ9oMNwRIl7zt07Jtit4BbDFel8BuEM8C\n4KCDlovAiGx0VjPuecjQmUJGa5LvyWhLYmtfUi6ncVv7tPKPmbWJmEffypUrZfDgwfa/X3vtNQkL\nC5M+ffpIxYoV5cqVKyIismXLFmnXrp0sW7ZMevToISkpKfLGG29I6dKlJSYmRuLi4iQwMFD2799f\n6JrN8tllh5n1mVmbSPHyHnQseZ8HmUreV0lm70HInNNKRTd3HGac8y0ZOa14Y4Cgc1BxYC95jzeO\n/4CeJG38REaFYCZE5Ix+hPoOo/eWZLQmOQisBR5D5+JOoleHe//aR2FhUXA0atSIf/7zn1y+fBkv\nLy/Cw8NxddX/V3Zzc6N9+/a0bNmSxMRE+vXrR0hICOvXr8fPz4/4+HgCAwNp164dIsILL7xAkyZN\ninhEFhZ5x7Jx0rrCgMHo0voVItLION4V3ROsl/EcF6CJiFzOcr3VmqQAMLM2MIe+xlXLsnr1apYv\nX86NGzcoX748LVu25OjRo5w7d87eMqRGjRr2ViO///47K1asYN++fTz99NNs27aNmTNn4u/vf8d0\n3ytWRIWBmbXBnbdxKuyS9+XAo0qpieiVTxQ6NOis5N2RQil5zyanNQ54DV01uAq4Tyn1orHacjeu\n/RKdixuedcKCW0veRzzTK8cPpiiJiIjgSZOWz5pZG5hD34EDB4iIiODUqVO4u7vTtWtX/P39SUtL\no3379oSHhwMQFRVFjx496NChA6tWrSIpKYnHH3+cRo0aUaJECVxdXe9ombJVtp1/zKwNil/Ju6ls\nnESktWgXd/sPuujjMrr03cYGw95pDuCNDlemYYUFLYqYQ4cO0aZNG+Li4uwtQ7766isaNWpEfHy8\n/by1a9fSqFEjAG7cuMHNmzdp0KABycnJ7Nmzh/vvv7+ohmBhcVtYNk66vL40ejJMR4cAVwIjyKho\n9ESvunYppWqLyPk8jMHCosCx5bN69erFtWvXOHXqFI8++iheXl6sWrWKlStX4u3tTevWrfnss8+I\nj4/n8OHD1K1bl/DwcJRSjBs3zspjWdy1WDZOuuR9NzpMGIPun9XBeM/HdpJSKho47WzCylrybpWn\n5g8zawPz6KtWrRq7du1CKUWdOnVwc3Pj0KFDeHl54ePjw5UrV7h06RJHjhwhPDycbt260aBBAzZu\n3EirVq1o1arVHR+HWT677DCzPjNrg+Jn42SqnJY4sXECu8v1QvSkV14ppRxWczZKAd85uz5rTsuK\nP+cPM2sDc+g7cOAAFy9e5OrVq7i7u1OnTh0aNmwIgK+vL+Hh4ZnyWZMnTyYyMpJLly5RokQJ9u/f\nz4EDBwgNDb2jus3w2eWEmfWZWRvceX2FOWlBzjktx5L3Vtzqnr5VREKNczaRfU4rSURSlFJZc1oi\nRpdhpVRONk6gQ3/u6AnOCxgGfKSUagfMRlcnHgPe/Eujt7AoYA4dOkTTpk3x9vbm1KlT9jzWjRs3\n7Oc45rO+//571q1bx65du9i7dy+lSpW64xOWhUVBYuW0NMnAMyKyTyn1PGAruzyFNvh9F5gpIknZ\nXG/HsnHKP2bWBkWrz2bblJiYyMmTJ9m3bx9Xr14lNjaWDz/8kKSkJG7evMmiRYuoWLEib731Fs2a\nNSMpKYmzZ88SHR1Njx49ikS7hUVBYuW09J4xN+N9N6AH8K3xng8wER0WzBqitGPZOBUMZtYGRacv\nq23ToEGDSEpKolKlSrRp0wYPDw/KlCnD2bNnee2115g3bx7Dhw/n008/5auvviI4OJh9+/ZRq1Yt\nvLy8iiQ/YuVl8o+ZtcG9YeP0Jjq3dQBtnRSD9iH8KzZO3YzXh4zz3NAhvDTJsHG6jvYT9ESXs/fN\nRmdJdFjxJnqCTQBcjPci0Cu2NOP9LbmN27Jxyj9m1iZSdPqy2jZNmzZNwsLCRERk0qRJ8tFHH8n0\n6dOlZ8+e9vcrVqwoIiJBQUFSs2ZNqVmzppQtW1Z8fHxkzpw5d3wM1nebf8ysTaR42TiBbk0yTTLb\nOE3CeU7LWWuSQs9piUi8Uup+tJP802hz3GfQnYt/Mp51P3pVejb/H4WFRf7Iatu0fv162rZty6lT\np5g/fz6enp6UKlWKsLAwALZu3UrZsmXp0KEDCQkJTJs2jQEDBjB16lQrp2Vx13PPtyYxuA6MRYf4\nHkI3ffwcbd/UAZhhPHs8MCGnQVs5rfxjZm1w5/TF7ltP3P5vQOCd18cwevRoQkNDue+++0hJSSE9\nPZ3jx4+zc+dOVq5ciYuLC926daNPnz54eXlRsWJFfHx8+L//+z9u3rxJ27ZtadOmTaHrtrC4E1it\nSXQo8hXgPfQqrjQ6dAlQWUTOGSXx14BKzgZq5bQKBjNrgzujz5a/WvbFfHvbkQoVKvDjjz/y9NNP\n079/f8aMGYOLiwuzZs0iLi6O0NBQ3n33Xd59911mz57Nli1bSE5OZu9ebeBSt25dli1bZi9LtnJa\nt2JmfWbWBsVrnxbogobJSqm56LxQLLrdx17gF/RK60egFhll55D7Pi1bePAikOAQHnSsODzjEB6M\nA6qIk31aSqk26GaPLxiHXNFGvwCeSilbIcmzZGN7JdY+rQLBzNrgzui7dOkSnTp1omvXrgD07t2b\n6Oho9u7dyw8//EBKSoq9vL1q1aps3bqVZ599FhGhVq1a/P3vf+f+++8nNDSUoKAgkpOTOXXqFO+8\n8469DL4osL7b/GNmbVC89mndFa1JgAfQE+oVdAl9JfSm6A7o0OUWERmklPJDhwgtLAqNrPmrzZs3\n07JlS06ePEmnTp1wc3Nj/vz5hISEMHHiRHbs2GErKKJs2bJ8/vnnDBgwgK5du9KkSRNKlCjBiy++\nWKQTloVFQXJPlbw7FSkSrpR6Cuc2Tr+gizAABgLrnd0jS2sS5ix1epopqOyFafWZWRsUrL7tWzaw\nO2IrSin8qtXkmZdH4Ormxk9fryYmJgY/Pz8qVqxIixYt+N///oeIcPToUQYPHoyLiwupqamMGDGC\n9PR0jhw5wnvvvceVK1eYMGECSim7XZONog4vWSGu/GNmbVC8woOms3HKwXsQnNs4/R/wvlIqCV2s\n8TdnA80aHrRak+QPM2uDgtN39uxZ3n99NMf/PIKXlxdPPvkkvioeSRFKlChBTEwMJUqU4OLFi8ye\nPZuyZcty+PBhevfuTfXq1alfvz7+/v506NCBPXv20LRpU7p160ZERASPPfYYnp6epgsnWSGu/GNm\nbVC8woNgMhsnZzkt4/1nROSsUur/gOroiexz9IT5K3qi80FPbM7aqFhY/CVSU1O5efMmbm5uJCQk\n4O/vz+uvv86yZcuIiYmhUqVKJCYm8tVXX7F7925iYmL45ZdfqF69OosXL6ZXL/0Po169ehEaGkpq\naiqJiYlERkYyZsyYIh6dhUXhUZj9tA4C/dCrotoi0gCdz8pL+VW+bJzIPAnn2cbJmLCeQK+mrqNL\n3gH+CUwV3XdrODr/ZWFxW1StWpVx48ZRo0YN/Pz8KFu2LF26dOHYsWOsWLGC2rVrU6pUKbp06cJH\nH32Ej48PEydO5Pjx44SFhbF161YmTpwIQGBgoD1/NXToUCt/ZVHsuadyWjmUvF9F79MaBgSTUfLu\nRkYpfkd02fstWK1JCgYza4OC03fjxg3effddfHx8cHFx4T//+Q8TJkzg+vXrhIWFUblyZeLi4khL\nS8PFxYVNmzYxffp0rl7VWxpbtmzJb7/9Zr+fLX9la3tuxs/wXvluCwMza4PiZ+P0Mbqh4jH0ZPV/\nQCjObZyCgEQpGhunC4am/xl6bDZOH6PDkcnoldvfchu3ZeOUf8ysTaTg9M2bN09KlSolCQkJIiLS\nqlUr6dixo5QpU0Y++ugjERFJT0+XMmXKiIjI22+/La+99ppMmTJFpkyZIj4+PpKUlFRo+goDM2sT\nMbc+M2sTufM2ToUZHrRNMNnltBqJSCC6MMNZnmiriDQUkafQTRqzy2l9LiIp6KINx5zWShG5LiKJ\nQE6tSeoCP4lILeAkUEpEbKvDFui9YIeB/cAbf2XwFhbO8Pf3JzExkcuXL5OSkkJ0dDSBgYHUqFGD\nAwf0In/Hjh3Uq1cP0P3ebty4gYiQnJyMr68vrq6FnY62sDAnVmsSbRnVQil1Ed3o0V0pFSG67P1+\noKyIpBohydG5CbdsnPKPmbVBweiLmhnM0aNH8fDwoHr16iilqFGjBrGxsRw/fpw//viDefPmUb58\neTZv3gxA3759adCgASkpKQCUL1+euLg4ypQpk9OjLCyKJSrjv/8FfGOl/oZ2lnhVMts4dUeH/+LJ\nyGk1Rue0vhURT6XU28AgdD6rKnAcGC8is5VSAryDQ04LHRqsAfiJiJdSagE6B/UnGTmtF4E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ZKWR7pH0k3y2Ei7JV0QjmIfldRT2OZ5SctC6zpJkyJ/lqQN6ouNVYmfdL+k6yWtJ7xfAEujTtMl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\n0jX8HzeTRolnEmBJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258f9133c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 1 log loss 0.2264450023111016 in 1562\n",
      "Fold :  2\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.51208\tvalid_1's multi_logloss: 0.512659\n",
      "[200]\ttraining's multi_logloss: 0.343621\tvalid_1's multi_logloss: 0.345331\n",
      "[300]\ttraining's multi_logloss: 0.285443\tvalid_1's multi_logloss: 0.288294\n",
      "[400]\ttraining's multi_logloss: 0.262838\tvalid_1's multi_logloss: 0.266694\n",
      "[500]\ttraining's multi_logloss: 0.252696\tvalid_1's multi_logloss: 0.257493\n",
      "[600]\ttraining's multi_logloss: 0.247267\tvalid_1's multi_logloss: 0.253062\n",
      "[700]\ttraining's multi_logloss: 0.243847\tvalid_1's multi_logloss: 0.250743\n",
      "[800]\ttraining's multi_logloss: 0.241501\tvalid_1's multi_logloss: 0.249385\n",
      "[900]\ttraining's multi_logloss: 0.239764\tvalid_1's multi_logloss: 0.24864\n",
      "[1000]\ttraining's multi_logloss: 0.238368\tvalid_1's multi_logloss: 0.248196\n",
      "[1100]\ttraining's multi_logloss: 0.237202\tvalid_1's multi_logloss: 0.247929\n",
      "[1200]\ttraining's multi_logloss: 0.236163\tvalid_1's multi_logloss: 0.247756\n",
      "[1300]\ttraining's multi_logloss: 0.23519\tvalid_1's multi_logloss: 0.247693\n",
      "[1400]\ttraining's multi_logloss: 0.234287\tvalid_1's multi_logloss: 0.247631\n",
      "[1500]\ttraining's multi_logloss: 0.233412\tvalid_1's multi_logloss: 0.24761\n",
      "[1600]\ttraining's multi_logloss: 0.232579\tvalid_1's multi_logloss: 0.247612\n",
      "[1700]\ttraining's multi_logloss: 0.231759\tvalid_1's multi_logloss: 0.247626\n",
      "[1800]\ttraining's multi_logloss: 0.230941\tvalid_1's multi_logloss: 0.247638\n",
      "[1900]\ttraining's multi_logloss: 0.230117\tvalid_1's multi_logloss: 0.247641\n",
      "[2000]\ttraining's multi_logloss: 0.229326\tvalid_1's multi_logloss: 0.247659\n",
      "[2100]\ttraining's multi_logloss: 0.228545\tvalid_1's multi_logloss: 0.247706\n",
      "[2200]\ttraining's multi_logloss: 0.227777\tvalid_1's multi_logloss: 0.247732\n",
      "[2300]\ttraining's multi_logloss: 0.227028\tvalid_1's multi_logloss: 0.247746\n",
      "[2400]\ttraining's multi_logloss: 0.226275\tvalid_1's multi_logloss: 0.247775\n",
      "Early stopping, best iteration is:\n",
      "[1487]\ttraining's multi_logloss: 0.233523\tvalid_1's multi_logloss: 0.247603\n"
     ]
    },
    {
     "data": {
      "image/png": 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XLgCvto2xy+/dq3grppn3hU08Nuv6ceR4bCnAK9bxQOszMqzjLQoat/HYvIsd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\neGAzM7NK8cBmZmaV4oHNzMwq5TKbRw6XIOc2ygAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258f91aef60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 2 log loss 0.24760319745696935 in 1487\n",
      "Fold :  3\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.511128\tvalid_1's multi_logloss: 0.5223\n",
      "[200]\ttraining's multi_logloss: 0.342462\tvalid_1's multi_logloss: 0.356705\n",
      "[300]\ttraining's multi_logloss: 0.284233\tvalid_1's multi_logloss: 0.299675\n",
      "[400]\ttraining's multi_logloss: 0.261635\tvalid_1's multi_logloss: 0.277875\n",
      "[500]\ttraining's multi_logloss: 0.251534\tvalid_1's multi_logloss: 0.26846\n",
      "[600]\ttraining's multi_logloss: 0.246128\tvalid_1's multi_logloss: 0.263953\n",
      "[700]\ttraining's multi_logloss: 0.24274\tvalid_1's multi_logloss: 0.26163\n",
      "[800]\ttraining's multi_logloss: 0.240431\tvalid_1's multi_logloss: 0.260369\n",
      "[900]\ttraining's multi_logloss: 0.238694\tvalid_1's multi_logloss: 0.259665\n",
      "[1000]\ttraining's multi_logloss: 0.237264\tvalid_1's multi_logloss: 0.259271\n",
      "[1100]\ttraining's multi_logloss: 0.236084\tvalid_1's multi_logloss: 0.259044\n",
      "[1200]\ttraining's multi_logloss: 0.235017\tvalid_1's multi_logloss: 0.258919\n",
      "[1300]\ttraining's multi_logloss: 0.234061\tvalid_1's multi_logloss: 0.258838\n",
      "[1400]\ttraining's multi_logloss: 0.233166\tvalid_1's multi_logloss: 0.258817\n",
      "[1500]\ttraining's multi_logloss: 0.232305\tvalid_1's multi_logloss: 0.258805\n",
      "[1600]\ttraining's multi_logloss: 0.231486\tvalid_1's multi_logloss: 0.258824\n",
      "[1700]\ttraining's multi_logloss: 0.230691\tvalid_1's multi_logloss: 0.258849\n",
      "[1800]\ttraining's multi_logloss: 0.229886\tvalid_1's multi_logloss: 0.258864\n",
      "[1900]\ttraining's multi_logloss: 0.229096\tvalid_1's multi_logloss: 0.258892\n",
      "[2000]\ttraining's multi_logloss: 0.228299\tvalid_1's multi_logloss: 0.258918\n",
      "[2100]\ttraining's multi_logloss: 0.227516\tvalid_1's multi_logloss: 0.258953\n",
      "[2200]\ttraining's multi_logloss: 0.226748\tvalid_1's multi_logloss: 0.259013\n",
      "[2300]\ttraining's multi_logloss: 0.225997\tvalid_1's multi_logloss: 0.259031\n",
      "[2400]\ttraining's multi_logloss: 0.225252\tvalid_1's multi_logloss: 0.259068\n",
      "Early stopping, best iteration is:\n",
      "[1452]\ttraining's multi_logloss: 0.232712\tvalid_1's multi_logloss: 0.2588\n"
     ]
    },
    {
     "data": {
      "image/png": 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X06RJk4KWX+wxrUk0E0WkMdqtCPCM9XMgkCAiQegqHI85od1gMPzHefbZZ4mJ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      "text/plain": [
       "<matplotlib.figure.Figure at 0x258f94762e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 3 log loss 0.2587995577455934 in 1452\n",
      "Fold :  4\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.513209\tvalid_1's multi_logloss: 0.505408\n",
      "[200]\ttraining's multi_logloss: 0.345026\tvalid_1's multi_logloss: 0.334664\n",
      "[300]\ttraining's multi_logloss: 0.286911\tvalid_1's multi_logloss: 0.276047\n",
      "[400]\ttraining's multi_logloss: 0.264314\tvalid_1's multi_logloss: 0.253841\n",
      "[500]\ttraining's multi_logloss: 0.254167\tvalid_1's multi_logloss: 0.244557\n",
      "[600]\ttraining's multi_logloss: 0.248751\tvalid_1's multi_logloss: 0.240218\n",
      "[700]\ttraining's multi_logloss: 0.245323\tvalid_1's multi_logloss: 0.237952\n",
      "[800]\ttraining's multi_logloss: 0.242989\tvalid_1's multi_logloss: 0.236736\n",
      "[900]\ttraining's multi_logloss: 0.241241\tvalid_1's multi_logloss: 0.236039\n",
      "[1000]\ttraining's multi_logloss: 0.239823\tvalid_1's multi_logloss: 0.235659\n",
      "[1100]\ttraining's multi_logloss: 0.238643\tvalid_1's multi_logloss: 0.235421\n",
      "[1200]\ttraining's multi_logloss: 0.237584\tvalid_1's multi_logloss: 0.235319\n",
      "[1300]\ttraining's multi_logloss: 0.236618\tvalid_1's multi_logloss: 0.23525\n",
      "[1400]\ttraining's multi_logloss: 0.235722\tvalid_1's multi_logloss: 0.235207\n",
      "[1500]\ttraining's multi_logloss: 0.234846\tvalid_1's multi_logloss: 0.235227\n",
      "[1600]\ttraining's multi_logloss: 0.234012\tvalid_1's multi_logloss: 0.235225\n",
      "[1700]\ttraining's multi_logloss: 0.233179\tvalid_1's multi_logloss: 0.235207\n",
      "[1800]\ttraining's multi_logloss: 0.232381\tvalid_1's multi_logloss: 0.235222\n",
      "[1900]\ttraining's multi_logloss: 0.231583\tvalid_1's multi_logloss: 0.235233\n",
      "[2000]\ttraining's multi_logloss: 0.230815\tvalid_1's multi_logloss: 0.235235\n",
      "[2100]\ttraining's multi_logloss: 0.230056\tvalid_1's multi_logloss: 0.235249\n",
      "[2200]\ttraining's multi_logloss: 0.229287\tvalid_1's multi_logloss: 0.235267\n",
      "[2300]\ttraining's multi_logloss: 0.228537\tvalid_1's multi_logloss: 0.235289\n",
      "[2400]\ttraining's multi_logloss: 0.227796\tvalid_1's multi_logloss: 0.235312\n",
      "[2500]\ttraining's multi_logloss: 0.227064\tvalid_1's multi_logloss: 0.235322\n",
      "[2600]\ttraining's multi_logloss: 0.226338\tvalid_1's multi_logloss: 0.235358\n",
      "Early stopping, best iteration is:\n",
      "[1682]\ttraining's multi_logloss: 0.233323\tvalid_1's multi_logloss: 0.235199\n"
     ]
    },
    {
     "data": {
      "image/png": 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Tu8Ay0WmcqqA7ONCd1heSn8bpG/Roq6GIBEp+aZJqIhKllJqslDoK5K08FB0K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\n4cOH0769jlGaMGEC8+bNo3r16qSnp5Oamoqfnx9nz57lueeeIz09nb/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nFWc1EOBn4Edw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\nY4wxneF/sjV/vpRTNQkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fb8f99b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 4 log loss 0.23519924303988526 in 1682\n",
      "Fold :  5\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.511386\tvalid_1's multi_logloss: 0.519316\n",
      "[200]\ttraining's multi_logloss: 0.342822\tvalid_1's multi_logloss: 0.353108\n",
      "[300]\ttraining's multi_logloss: 0.284588\tvalid_1's multi_logloss: 0.295891\n",
      "[400]\ttraining's multi_logloss: 0.261981\tvalid_1's multi_logloss: 0.274282\n",
      "[500]\ttraining's multi_logloss: 0.251821\tvalid_1's multi_logloss: 0.265196\n",
      "[600]\ttraining's multi_logloss: 0.246396\tvalid_1's multi_logloss: 0.260917\n",
      "[700]\ttraining's multi_logloss: 0.242982\tvalid_1's multi_logloss: 0.258743\n",
      "[800]\ttraining's multi_logloss: 0.240643\tvalid_1's multi_logloss: 0.257535\n",
      "[900]\ttraining's multi_logloss: 0.238927\tvalid_1's multi_logloss: 0.25684\n",
      "[1000]\ttraining's multi_logloss: 0.237529\tvalid_1's multi_logloss: 0.256419\n",
      "[1100]\ttraining's multi_logloss: 0.236365\tvalid_1's multi_logloss: 0.2562\n",
      "[1200]\ttraining's multi_logloss: 0.235319\tvalid_1's multi_logloss: 0.256119\n",
      "[1300]\ttraining's multi_logloss: 0.23436\tvalid_1's multi_logloss: 0.256069\n",
      "[1400]\ttraining's multi_logloss: 0.233449\tvalid_1's multi_logloss: 0.256043\n",
      "[1500]\ttraining's multi_logloss: 0.232595\tvalid_1's multi_logloss: 0.256064\n",
      "[1600]\ttraining's multi_logloss: 0.23175\tvalid_1's multi_logloss: 0.25608\n",
      "[1700]\ttraining's multi_logloss: 0.230932\tvalid_1's multi_logloss: 0.256075\n",
      "[1800]\ttraining's multi_logloss: 0.230155\tvalid_1's multi_logloss: 0.256079\n",
      "[1900]\ttraining's multi_logloss: 0.229365\tvalid_1's multi_logloss: 0.256106\n",
      "[2000]\ttraining's multi_logloss: 0.228577\tvalid_1's multi_logloss: 0.256135\n",
      "[2100]\ttraining's multi_logloss: 0.227844\tvalid_1's multi_logloss: 0.256151\n",
      "[2200]\ttraining's multi_logloss: 0.22709\tvalid_1's multi_logloss: 0.256174\n",
      "[2300]\ttraining's multi_logloss: 0.226326\tvalid_1's multi_logloss: 0.256188\n",
      "[2400]\ttraining's multi_logloss: 0.225588\tvalid_1's multi_logloss: 0.256188\n",
      "Early stopping, best iteration is:\n",
      "[1458]\ttraining's multi_logloss: 0.232945\tvalid_1's multi_logloss: 0.25604\n"
     ]
    },
    {
     "data": {
      "image/png": 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OzLgFHd/aLiKeSqnP0MkUNdCJF+eBZ0RkgROd/uiZXF30LCsTbbg6AePQBvAYeuHzbegU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\nzGrDQcvMzGrjLxOB3XUnOKedAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fbcf6940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 5 log loss 0.2560397692230624 in 1458\n",
      "Fold :  6\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.509893\tvalid_1's multi_logloss: 0.530119\n",
      "[200]\ttraining's multi_logloss: 0.341026\tvalid_1's multi_logloss: 0.368924\n",
      "[300]\ttraining's multi_logloss: 0.282825\tvalid_1's multi_logloss: 0.314204\n",
      "[400]\ttraining's multi_logloss: 0.260286\tvalid_1's multi_logloss: 0.293334\n",
      "[500]\ttraining's multi_logloss: 0.25022\tvalid_1's multi_logloss: 0.284255\n",
      "[600]\ttraining's multi_logloss: 0.244831\tvalid_1's multi_logloss: 0.279804\n",
      "[700]\ttraining's multi_logloss: 0.241458\tvalid_1's multi_logloss: 0.277509\n",
      "[800]\ttraining's multi_logloss: 0.239154\tvalid_1's multi_logloss: 0.276229\n",
      "[900]\ttraining's multi_logloss: 0.23745\tvalid_1's multi_logloss: 0.275477\n",
      "[1000]\ttraining's multi_logloss: 0.236079\tvalid_1's multi_logloss: 0.27504\n",
      "[1100]\ttraining's multi_logloss: 0.234917\tvalid_1's multi_logloss: 0.274794\n",
      "[1200]\ttraining's multi_logloss: 0.233889\tvalid_1's multi_logloss: 0.274634\n",
      "[1300]\ttraining's multi_logloss: 0.232947\tvalid_1's multi_logloss: 0.27457\n",
      "[1400]\ttraining's multi_logloss: 0.232054\tvalid_1's multi_logloss: 0.274515\n",
      "[1500]\ttraining's multi_logloss: 0.231197\tvalid_1's multi_logloss: 0.274504\n",
      "[1600]\ttraining's multi_logloss: 0.230366\tvalid_1's multi_logloss: 0.274521\n",
      "[1700]\ttraining's multi_logloss: 0.22956\tvalid_1's multi_logloss: 0.274546\n",
      "[1800]\ttraining's multi_logloss: 0.228767\tvalid_1's multi_logloss: 0.274585\n",
      "[1900]\ttraining's multi_logloss: 0.227987\tvalid_1's multi_logloss: 0.274631\n",
      "[2000]\ttraining's multi_logloss: 0.227195\tvalid_1's multi_logloss: 0.27467\n",
      "[2100]\ttraining's multi_logloss: 0.226442\tvalid_1's multi_logloss: 0.2747\n",
      "[2200]\ttraining's multi_logloss: 0.225686\tvalid_1's multi_logloss: 0.274741\n",
      "[2300]\ttraining's multi_logloss: 0.224953\tvalid_1's multi_logloss: 0.274787\n",
      "[2400]\ttraining's multi_logloss: 0.22422\tvalid_1's multi_logloss: 0.274803\n",
      "[2500]\ttraining's multi_logloss: 0.223495\tvalid_1's multi_logloss: 0.274804\n",
      "Early stopping, best iteration is:\n",
      "[1541]\ttraining's multi_logloss: 0.230848\tvalid_1's multi_logloss: 0.27449\n"
     ]
    },
    {
     "data": {
      "image/png": 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lnGzfmkRETgKrrfuC3hDtyC+thvbJ9gE7gHeUUgX9zAwGww0mp3Yir7zyCu+9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\nmZlV4x8661H/DF9vQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fc9ea908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 6 log loss 0.27448999748736214 in 1541\n",
      "Fold :  7\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.511683\tvalid_1's multi_logloss: 0.516436\n",
      "[200]\ttraining's multi_logloss: 0.343204\tvalid_1's multi_logloss: 0.349574\n",
      "[300]\ttraining's multi_logloss: 0.285039\tvalid_1's multi_logloss: 0.292138\n",
      "[400]\ttraining's multi_logloss: 0.262445\tvalid_1's multi_logloss: 0.27027\n",
      "[500]\ttraining's multi_logloss: 0.252303\tvalid_1's multi_logloss: 0.260979\n",
      "[600]\ttraining's multi_logloss: 0.24684\tvalid_1's multi_logloss: 0.256593\n",
      "[700]\ttraining's multi_logloss: 0.243417\tvalid_1's multi_logloss: 0.254369\n",
      "[800]\ttraining's multi_logloss: 0.241085\tvalid_1's multi_logloss: 0.253174\n",
      "[900]\ttraining's multi_logloss: 0.239326\tvalid_1's multi_logloss: 0.252515\n",
      "[1000]\ttraining's multi_logloss: 0.237902\tvalid_1's multi_logloss: 0.252126\n",
      "[1100]\ttraining's multi_logloss: 0.236698\tvalid_1's multi_logloss: 0.251918\n",
      "[1200]\ttraining's multi_logloss: 0.235649\tvalid_1's multi_logloss: 0.251799\n",
      "[1300]\ttraining's multi_logloss: 0.234693\tvalid_1's multi_logloss: 0.251714\n",
      "[1400]\ttraining's multi_logloss: 0.233797\tvalid_1's multi_logloss: 0.251684\n",
      "[1500]\ttraining's multi_logloss: 0.232937\tvalid_1's multi_logloss: 0.251675\n",
      "[1600]\ttraining's multi_logloss: 0.23207\tvalid_1's multi_logloss: 0.251694\n",
      "[1700]\ttraining's multi_logloss: 0.23125\tvalid_1's multi_logloss: 0.2517\n",
      "[1800]\ttraining's multi_logloss: 0.230445\tvalid_1's multi_logloss: 0.251727\n",
      "[1900]\ttraining's multi_logloss: 0.22965\tvalid_1's multi_logloss: 0.251756\n",
      "[2000]\ttraining's multi_logloss: 0.228873\tvalid_1's multi_logloss: 0.251787\n",
      "[2100]\ttraining's multi_logloss: 0.228098\tvalid_1's multi_logloss: 0.251827\n",
      "[2200]\ttraining's multi_logloss: 0.227337\tvalid_1's multi_logloss: 0.251861\n",
      "[2300]\ttraining's multi_logloss: 0.226595\tvalid_1's multi_logloss: 0.251901\n",
      "[2400]\ttraining's multi_logloss: 0.225859\tvalid_1's multi_logloss: 0.251945\n",
      "Early stopping, best iteration is:\n",
      "[1479]\ttraining's multi_logloss: 0.23312\tvalid_1's multi_logloss: 0.251669\n"
     ]
    },
    {
     "data": {
      "image/png": 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ZvxeTdVgB6Ae8BtTFGK4NmHhWOibj8U2gE8Y9+AQmc7ItcIeqLhCReZiY2T7n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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fcebcd68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 7 log loss 0.2516691731417232 in 1479\n",
      "Fold :  8\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.51211\tvalid_1's multi_logloss: 0.514966\n",
      "[200]\ttraining's multi_logloss: 0.343669\tvalid_1's multi_logloss: 0.347155\n",
      "[300]\ttraining's multi_logloss: 0.285452\tvalid_1's multi_logloss: 0.289547\n",
      "[400]\ttraining's multi_logloss: 0.262802\tvalid_1's multi_logloss: 0.267916\n",
      "[500]\ttraining's multi_logloss: 0.252634\tvalid_1's multi_logloss: 0.258828\n",
      "[600]\ttraining's multi_logloss: 0.247237\tvalid_1's multi_logloss: 0.254537\n",
      "[700]\ttraining's multi_logloss: 0.243864\tvalid_1's multi_logloss: 0.25237\n",
      "[800]\ttraining's multi_logloss: 0.241549\tvalid_1's multi_logloss: 0.251184\n",
      "[900]\ttraining's multi_logloss: 0.239802\tvalid_1's multi_logloss: 0.250509\n",
      "[1000]\ttraining's multi_logloss: 0.23841\tvalid_1's multi_logloss: 0.250148\n",
      "[1100]\ttraining's multi_logloss: 0.237212\tvalid_1's multi_logloss: 0.249927\n",
      "[1200]\ttraining's multi_logloss: 0.236171\tvalid_1's multi_logloss: 0.249852\n",
      "[1300]\ttraining's multi_logloss: 0.235225\tvalid_1's multi_logloss: 0.249799\n",
      "[1400]\ttraining's multi_logloss: 0.234322\tvalid_1's multi_logloss: 0.249784\n",
      "[1500]\ttraining's multi_logloss: 0.233453\tvalid_1's multi_logloss: 0.249789\n",
      "[1600]\ttraining's multi_logloss: 0.232593\tvalid_1's multi_logloss: 0.249793\n",
      "[1700]\ttraining's multi_logloss: 0.231775\tvalid_1's multi_logloss: 0.249809\n",
      "[1800]\ttraining's multi_logloss: 0.230982\tvalid_1's multi_logloss: 0.249851\n",
      "[1900]\ttraining's multi_logloss: 0.230191\tvalid_1's multi_logloss: 0.249876\n",
      "[2000]\ttraining's multi_logloss: 0.229412\tvalid_1's multi_logloss: 0.249876\n",
      "[2100]\ttraining's multi_logloss: 0.228655\tvalid_1's multi_logloss: 0.249931\n",
      "[2200]\ttraining's multi_logloss: 0.227911\tvalid_1's multi_logloss: 0.249952\n",
      "[2300]\ttraining's multi_logloss: 0.227165\tvalid_1's multi_logloss: 0.24998\n",
      "Early stopping, best iteration is:\n",
      "[1359]\ttraining's multi_logloss: 0.234686\tvalid_1's multi_logloss: 0.249775\n"
     ]
    },
    {
     "data": {
      "image/png": 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FJ294o0s17bTuWY5OvrCVccoF6qJjYu86aFkJdHT4fcnhu61lSYalMRsYf7V5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\n0zktIauN03XAKBH5CMAYMwctzDiV6drlrvJ0Y8xScm5NkuSW03JvTSJ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FixenR48ebN++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hrH/8vEj+kn7zMaj8uA32tMmtP5Jx7PFcrV5xf7+a/nRvfoFK9VgA0ppaG4Dt01+gPjaS1Uo82Z\njtcWOd/TMmvMB8CjyulfkHStcnT6FuCXmLBuA66K/f8CVhWO/xHoiIjfLeTsxxdIOQfaD5I2RTuS\ndNMsjWEZUF0p3gscSin9Afym8WR/9wEDtQ7mwjGtAk7HNdlcR/sfAg8U7n21zfF4rcQ8aZk1Zg9w\nEjgq6QTwMnkFsxfokjRI/sX9NUDKOYk+lXRCUm9K6SfgTfL9o73AF1O0tRnYIqkaAX+2UrGPAtdL\nOgLcTr5/BTldSa+kYXIiwx0XOf514EnlrLbtwNPk7NgfEeOeSkrpADkK+qCkY8AT8dJcjddKzF95\nN1viZuOr/GbzxSstMzMrDa+0zMysNLzSMjOz0vCkZWZmpeFJy8zMSsOTlpmZlYYnLTMzK43/AClt\nk4EhG2MyAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fce9c5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 8 log loss 0.24977507248569505 in 1359\n",
      "Fold :  9\n",
      "Training until validation scores don't improve for 1000 rounds.\n",
      "[100]\ttraining's multi_logloss: 0.512523\tvalid_1's multi_logloss: 0.508189\n",
      "[200]\ttraining's multi_logloss: 0.344236\tvalid_1's multi_logloss: 0.339585\n",
      "[300]\ttraining's multi_logloss: 0.286094\tvalid_1's multi_logloss: 0.281985\n",
      "[400]\ttraining's multi_logloss: 0.263489\tvalid_1's multi_logloss: 0.260472\n",
      "[500]\ttraining's multi_logloss: 0.25331\tvalid_1's multi_logloss: 0.251549\n",
      "[600]\ttraining's multi_logloss: 0.247882\tvalid_1's multi_logloss: 0.247389\n",
      "[700]\ttraining's multi_logloss: 0.244469\tvalid_1's multi_logloss: 0.245295\n",
      "[800]\ttraining's multi_logloss: 0.242118\tvalid_1's multi_logloss: 0.244157\n",
      "[900]\ttraining's multi_logloss: 0.240374\tvalid_1's multi_logloss: 0.243498\n",
      "[1000]\ttraining's multi_logloss: 0.238964\tvalid_1's multi_logloss: 0.243101\n",
      "[1100]\ttraining's multi_logloss: 0.237781\tvalid_1's multi_logloss: 0.242878\n",
      "[1200]\ttraining's multi_logloss: 0.236706\tvalid_1's multi_logloss: 0.24274\n",
      "[1300]\ttraining's multi_logloss: 0.235728\tvalid_1's multi_logloss: 0.242668\n",
      "[1400]\ttraining's multi_logloss: 0.234814\tvalid_1's multi_logloss: 0.242639\n",
      "[1500]\ttraining's multi_logloss: 0.233944\tvalid_1's multi_logloss: 0.242628\n",
      "[1600]\ttraining's multi_logloss: 0.233095\tvalid_1's multi_logloss: 0.242633\n",
      "[1700]\ttraining's multi_logloss: 0.23226\tvalid_1's multi_logloss: 0.242625\n",
      "[1800]\ttraining's multi_logloss: 0.231463\tvalid_1's multi_logloss: 0.242638\n",
      "[1900]\ttraining's multi_logloss: 0.230665\tvalid_1's multi_logloss: 0.242689\n",
      "[2000]\ttraining's multi_logloss: 0.229879\tvalid_1's multi_logloss: 0.242712\n",
      "[2100]\ttraining's multi_logloss: 0.229085\tvalid_1's multi_logloss: 0.242759\n",
      "[2200]\ttraining's multi_logloss: 0.228315\tvalid_1's multi_logloss: 0.242783\n",
      "[2300]\ttraining's multi_logloss: 0.227566\tvalid_1's multi_logloss: 0.242803\n",
      "[2400]\ttraining's multi_logloss: 0.226818\tvalid_1's multi_logloss: 0.242836\n",
      "[2500]\ttraining's multi_logloss: 0.226086\tvalid_1's multi_logloss: 0.242871\n",
      "[2600]\ttraining's multi_logloss: 0.225347\tvalid_1's multi_logloss: 0.242915\n",
      "Early stopping, best iteration is:\n",
      "[1622]\ttraining's multi_logloss: 0.232905\tvalid_1's multi_logloss: 0.242609\n"
     ]
    },
    {
     "data": {
      "image/png": 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VELgLnRVYDqiMjldFASUcxsYCpZVSbkAFdJzLkXUiMlwptR94BN22uwaw3eGa0kB9dOLF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\nbOcaKRuv9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x258fca81cc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fold 9 log loss 0.242608917247828 in 1622\n",
      "Training  Finish\n"
     ]
    }
   ],
   "source": [
    "pred, log_loss, oofs = fit_every_feature_model(ensemble_trains, labels, ensemble_tests, fold_count=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.24910701469032212"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 0, 0, ..., 0, 0, 0], dtype=int64)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "oofs = np.concatenate(oofs)\n",
    "oofs.argmax(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def np_weighted_accuracy(y_true, y_pred):\n",
    "    weight = np.array([[1/16, 1/15, 1/5]])\n",
    "    norm = [(1/16) + (1/15) + (1/5)]\n",
    "    weight_mask = weight * y_true\n",
    "    weight_mask = np.max(weight_mask, axis=-1)\n",
    "    norms = np.sum(weight_mask)\n",
    "    \n",
    "    y_true = np.argmax(y_true, axis=-1)\n",
    "    y_pred = np.argmax(y_pred, axis=-1)\n",
    "    \n",
    "    res = ((y_true == y_pred) * weight_mask).sum() / norms\n",
    "    return res"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "score = np_weighted_accuracy(to_categorical(labels), oofs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.8686099870681093"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "score 0.8686099870681093\n",
      "Predicting training results...\n",
      "Predicting labeled testing results...\n"
     ]
    }
   ],
   "source": [
    "print(\"score\", score)\n",
    "oofs_dir = \"../data/p_ensemble/oofs/\"\n",
    "output_dir = \"../data/p_ensemble/preds/\"\n",
    "onehot_pred_dir = \"../data/p_ensemble/nn_one_hot/\"\n",
    "\n",
    "model_submit_prefix = \"LightGBM-Ensemble\"\n",
    "\n",
    "oofs_path = oofs_dir + model_submit_prefix\n",
    "output_path = output_dir + model_submit_prefix\n",
    "one_hot_pred_path = onehot_pred_dir + \"One-Hot\" + model_submit_prefix\n",
    "\n",
    "print(\"Predicting training results...\")\n",
    "oofs = pd.DataFrame({\"unrelated\": oofs[:, 0], \"agreed\": oofs[:, 1], \"disagreed\": oofs[:, 2]})\n",
    "submit_path = oofs_path + \"-Train-L{:4f}-NB{:d}.csv\".format(score, NB_WORDS)\n",
    "oofs.to_csv(submit_path, index=False)\n",
    "\n",
    "test_predicts = pd.DataFrame({\"unrelated\": pred[:, 0], \"agreed\": pred[:, 1], \"disagreed\": pred[:, 2]})\n",
    "submit_path = output_path + \"-L{:4f}-NB{:d}.csv\".format(score, NB_WORDS)\n",
    "test_predicts.to_csv(submit_path, index=False) # 0.3343\n",
    "\n",
    "print(\"Predicting labeled testing results...\")\n",
    "ids = pd.read_csv(\"../data/dataset/test.csv\")\n",
    "pred_labels = test_predicts.idxmax(axis=1)\n",
    "sub = pd.DataFrame({\"Id\": ids['id'].values, \"Category\": pred_labels})\n",
    "submit_path = one_hot_pred_path + \"-L{:4f}-NB{:d}.csv\".format(score, NB_WORDS)\n",
    "sub.to_csv(submit_path, index=False)"
   ]
  }
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